Question

The perimeter of this rectangle is 156 cm.

What is the length and width of the
rectangle?
2x + 1
3x + 2

Answer 1

x = 15

Therefore, the length and width are 31 and 47.

Explanation:

Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156

Simplified,

10x + 6 = 156

Subtract 6 from both sides, then divide by 10.

10x = 150

x = 15

To find the length and width, substitute 15 (the value of x) into the individual equations.

2(15) + 1 = 31

3(15) + 2 = 47