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Please answer the problem in the picture below.

Please answer the problem in the picture below.-example-1
User Shammi
by
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1 Answer

5 votes

Answer:

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

User Rosette
by
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