If the ratio of the areas of two similar polygons is 25: 49, what is the ratio of the corresponding side length

5:7

Step-by-step explanation:

Ratio of the areas of similar shapes is equal to the square of the scale:

A₂ / A₁ = r²

Ratio of the side lengths of similar shapes is equal to the scale:

s₂ / s₁ = r

Therefore:

A₂ / A₁ = (s₂ / s₁)²

25/49 = (s₂ / s₁)²

s₂ / s₁ = 5/7

The ratio of the side lengths is 5:7.

5 : 7

Step-by-step explanation:

Given 2 similar figures then

ratio of sides = a : b

ratio of areas = a² : b²

Here the ratio of areas = 25 : 49, hence

ratio of sides = : = 5 : 7

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

care to share were the trapezoid shown is ?