Question
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?
- 100:49
- 49:100
- 2:1
- 1:2
Hint:
ratio of area = (ratio of length)^2
The correct answer is: 100:49
49:100
Given, ratio of corresponding sides = 10:7
Let the length of the larger table be l and breadth be b
Area of the table = lb
Length of the smaller table = 7l/10
Breadth of the smaller table = 7b/10
Area of the smaller table = 7l/10 x 7b/10
= 49lb/100
=(49/100) x area of larger table.
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.
Related Questions to study
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.
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 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?
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
