Sean is trying to find the area of a square, • The side length of the square is equivalent to the side length of an equilateral triangle,
The perimeter of the equilateral triangle is 24x + 18.
Find the expression that models the area of the square

An equilateral Triangle has 3 equal sides.

Divide the perimeter by 3 to get the length of one side.

24x + 18 / 3 = 8x + 6

The area of a square is S^2

Area = (8x+6)^2

Apply the perfect square formula to get:

64x^2 + 96x + 36

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have