Question

a rectangular with a perimeter of 32 cm has a base of x-3 cm and a height of 2x+7 cm what are the length in cm of the rectangle base an height​

Answer 1

Explanation:

Perimeter = 32

length = x - 3

width = 2x + 7

Perimeter = 2* Length + 2* width

Perimeter = 2*(x-3) + 2(2x + 7) = 32 Remove the brackets.

2x - 6 + 4x + 14 = 32 Combine

6x + 8 = 32 Subtract 1 from both sides

6x = 32 - 8

6x = 24 Divide by 6

x = 24/6

x = 4

So the base = x - 3 = 4 - 3 = 1

The height = 2*4 + 7 = 8 + 7 = 15