Find the sum of measures of interior angles of a nonagon.

Properties of polygons state several rules for solving such problems. Sum of internal angles = (n-2) x 180 degrees. sum of external angles of a polygon = 360 degrees.

What is the ratio of the areas of the large triangle to one of the small triangles?

A triangle with an area of 10 square meters has a base of 4 meters. A similar triangle has an area of 90 square meters. What is the height of the larger triangle?

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?

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?

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.

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

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.

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

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?

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.

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?

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.

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.

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

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.

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

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?

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.

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 = s²
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?