Question

The perimeter of the square and the equilateral triangle shown are the same. Write an equation to represent the situation, and solve for x. Then, find the perimeter of each shape. 7 2.5x type your answer... Perimeter: type your answer.... (DECIMAL) (Plug in x, then add all sides) anyone know please I need it done fast​

Answer 1

A side of a square is represented by 2.5x-3 and a side of an equilateral triangle is represented by 2x-2.

If the perimeter of the square and the equilateral triangle are the same, then we can set the perimeter of the square equal to the perimeter of the triangle:

4(2.5x-3) = 3(2x-2)

Expanding the equation and combining like terms we get:

10x - 12 = 6x - 6

Subtracting 6x from both sides we get:

4x - 12 = -6

Adding 12 to both sides we get:

4x = 6

Dividing both sides by 4 we get:

x = 3/2

With x = 3/2, we can find the perimeter of the square by plugging it back into the equation for the side of the square:

4(2.5(3/2) - 3) = 4(3.75 - 3) = 4(.75) = 3

And we can find the perimeter of the equilateral triangle by plugging it back into the equation for the side of the triangle:

3(2(3/2) - 2) = 3(3 - 2) = 3(1) = 3

So the perimeter of the square is 3 units and the perimeter of the equilateral triangle is also 3 units.