The equilateral triangle and the rectangle have equal perimeters. Find the value of x and the perimeter. The triangle measures x + 5 on each side. The rectangle measures 2x - 3 is the length and x is the height.

Step-by-step explanation:

Perimeter of triangle = 3(x + 5).

Perimeter of rectangle = 2(2x - 3) + 2x

We know that 3(x + 5) = 2(2x - 3) + 2x

So 3x + 15 = 4x - 6 + 2x, 3x = 21, x = 7.

Hence perimeter = 3(7 + 5) = 36.

0 is its x and y coordinate