Question

Read the question and explain your answer.

Answer 1

431 ft²

Explanation:

given 2 similar figures with ratio of sides a : b , then

ratio of area = a² : b²

here ratio of sides = 24 : 21 = 8 : 7

ratio of area = 8² : 7² = 64 : 49

let x be the area of the smaller triangle then by proportion

`(ratio)/(area)` =
`(64)/(563)` =
`(49)/(x)` ( cross- multiply )

64x = 563 × 49 = 27587 ( divide both sides by 64 )

x = 431.046875 ≈ 431 ( to nearest whole number )

area of smaller triangle is approximately 431 ft²