Question
The figures below are similar. If the ratio of the perimeters is 8:5, find the value of x.
- 24.5
- 25.6
- 30.5
- 26.8
Hint:
ratio of perimeter = ratio of sides
The correct answer is: 25.6
25.6
We know that ratio of perimeter = ratio of sides
Given, ratio of perimeter = 8:5
If we flip the figure on the right vertically, it’ll help to get a better idea of the problem. We can say that
x : 16 = 8: 5
x = 8 x 16/ 5
x = 25.6
since perimeter is an additive quantity, the ratio of perimeter becomes equal to the ratio of the sides.
Related Questions to study
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?
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a foosball table is a rectangular surface on which players play soccer through puppet player.
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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.
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the above stated problem can be better understood with this picture.
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the above stated problem can be better understood with this picture.
Which of the following shapes is a kite?
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Which of the following shapes is a kite?
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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?
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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?
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