Question

Please answer the problem in the picture below.

Answer 1

D

Explanation:

given 2 similar triangles

with ratio of sides/ perimeter = a : b , then

ratios of areas = a² : b²

given areas in ratio is 25 : 16 , then

ratio of perimeters is
`√(25)` :
`√(16)` = 5 : 4

let x be the perimeter of Δ FIL , then by proportion

`(ratio)/(perimeter)` is
`(4)/(x)` =
`(5)/(10)` =
`(1)/(2)` ( cross- multiply )

x = 4 × 2 = 8

perimeter of Δ FIL = 8 cm