Mathematics
Grade9
Easy

Question

You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?

  1. 10
  2. 13
  3. 14
  4. 15

hintHint:

Perimeter = length of sides
Area = 1/2  x h x (b1 + b2)
Finding the number of fertilizer bottles required

The correct answer is: 13


    Perimeter of the flower garden shown= 42 ft.
    Area of flower garden shown = 1 half cross times straight h cross times open parentheses straight b subscript 1 plus straight b subscript 2 close parentheses equals 1 half cross times 4 open parentheses 18 plus 15 close parentheses = 66 square feet
    Ratio of area = ratio of square of perimeters = ratio of square of lengths of corresponding sides
    66 over x equals 42 squared over 105 squared
    Area of the similar garden , x = 412.5 square ft.
    66 square ft garden requires = 2 bottles of fertilizer
    1 Bottle of fertilizer = 66 over 2 = 33 square feet
    412.5 square ft garden requires = fraction numerator 412.5 over denominator 33 end fraction = 12.5 …13 bottles of fertilizer.

    Related Questions to study

    Grade9
    Mathematics

    A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?

    A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?

    MathematicsGrade9
    Grade9
    Mathematics

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    MathematicsGrade9
    Grade9
    Mathematics

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    Perimeters: The scale factor and the perimeters' ratios are identical. The scale factor is the same for any ratio between two similar shapes (diagonals, medians, midsegments, altitudes, etc.).
    Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    MathematicsGrade9

    Perimeters: The scale factor and the perimeters' ratios are identical. The scale factor is the same for any ratio between two similar shapes (diagonals, medians, midsegments, altitudes, etc.).
    Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b

    parallel
    Grade9
    Mathematics

    The figures below are similar. If the ratio of the perimeters is 8:5, find the value of x.

    since perimeter is an additive quantity, the ratio of perimeter becomes equal to the ratio of the sides.

    The figures below are similar. If the ratio of the perimeters is 8:5, find the value of x.

    MathematicsGrade9

    since perimeter is an additive quantity, the ratio of perimeter becomes equal to the ratio of the sides.

    Grade9
    Mathematics

    The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?

    length of larger table / length of smaller table = 10/7
    length of smaller table = length of larger table x 7/10
    a foosball table is a rectangular surface on which players play soccer through puppet player.

    The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?

    MathematicsGrade9

    length of larger table / length of smaller table = 10/7
    length of smaller table = length of larger table x 7/10
    a foosball table is a rectangular surface on which players play soccer through puppet player.

    Grade9
    Mathematics

    The figures below are similar. If the ratio of the perimeters is 7:10, find the value of x.

    similarity of 2 polygons involves the correlation of the sides and angles of the polygons. the ratio of the sides needs to be consistent and the angles need to  be exactly equal in both the polygons as well as the relative position of the sides and angles should be exactly same.

    The figures below are similar. If the ratio of the perimeters is 7:10, find the value of x.

    MathematicsGrade9

    similarity of 2 polygons involves the correlation of the sides and angles of the polygons. the ratio of the sides needs to be consistent and the angles need to  be exactly equal in both the polygons as well as the relative position of the sides and angles should be exactly same.

    parallel
    Grade9
    Mathematics

    The rectangle area AR is 220.  What is the area AK of the inscribed kite GBHE?

    A kite is a polygon with 2 pairs of equal sides, with the equal sides being adjacent to each other. Area of the inscribed polygon is always less than the outer polygon.

    The rectangle area AR is 220.  What is the area AK of the inscribed kite GBHE?

    MathematicsGrade9

    A kite is a polygon with 2 pairs of equal sides, with the equal sides being adjacent to each other. Area of the inscribed polygon is always less than the outer polygon.

    Grade9
    Mathematics

    Find the area of a kite with diagonal lengths of a + b and 2a − 2b.

    a kite is a polygon with 2 pairs of sides which are equal in length with the equal sides adjacent to each other.

    Find the area of a kite with diagonal lengths of a + b and 2a − 2b.

    MathematicsGrade9

    a kite is a polygon with 2 pairs of sides which are equal in length with the equal sides adjacent to each other.

    Grade9
    Mathematics

    Two congruent equilateral triangles with sides of length 1 are connected so that they share a side. Each triangle has a height of h. Express the area of the shape in terms of h.


    the above stated problem can be better understood with this picture.

    Two congruent equilateral triangles with sides of length 1 are connected so that they share a side. Each triangle has a height of h. Express the area of the shape in terms of h.

    MathematicsGrade9


    the above stated problem can be better understood with this picture.

    parallel
    Grade9
    Mathematics

    Which of the following shapes is a kite?

    According to definition. A kite is a quadrilateral with 2 pairs of equal length sides, which are adjacent to each other.it diagonals intersect at right angles.

    Which of the following shapes is a kite?

    MathematicsGrade9

    According to definition. A kite is a quadrilateral with 2 pairs of equal length sides, which are adjacent to each other.it diagonals intersect at right angles.

    Grade9
    Mathematics

    A trapezoid has a base of length 4, another base of length s, and a height of length s. A square has sides of length s. What is the value of s such that the area of the trapezoid and the area of the square are equal?

    Area of the given polygons:
    Area of square = s*s = s
    Area of a trapezoid = ½ x sum of parallel sides x distance between them

    A trapezoid has a base of length 4, another base of length s, and a height of length s. A square has sides of length s. What is the value of s such that the area of the trapezoid and the area of the square are equal?

    MathematicsGrade9

    Area of the given polygons:
    Area of square = s*s = s
    Area of a trapezoid = ½ x sum of parallel sides x distance between them

    Grade9
    Mathematics

    What is the area of this regular trapezoid?

    What is the area of this regular trapezoid?

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Find the area of the following trapezoid:

    Find the area of the following trapezoid:

    MathematicsGrade9
    Grade9
    Mathematics

    Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.

    Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.

    MathematicsGrade9
    Grade9
    Mathematics

    What is the area of the following kite?

    What is the area of the following kite?

    MathematicsGrade9
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.