Question

A rectangle has a perimeter of 38+x 38+x centimeters. The rectangle has a length of 3x−2 3x−2 centimeters and a width of x centimeters. What is the length of the rectangle? A. Substitute the dimensions of the rectangle info the perimeter formula P=2w+2l P=2w+2l b. Solve for x. C. Find the length of the rectangle.

Answer 1

The length of the rectangle is 6 centimeters

Explanation:

The perimeter of a rectangle =

P = 2L + 2W

A rectangle has a perimeter of 38+x centimeters. The rectangle has a length of 3x−2 centimeters and a width of x centimeters.

Hence:

38 + x = 2(3x - 2) + 2(x)

38 + x = 6x - 4 + 2x

Collect like terms

38 + 4 = 6x + 2x - x

42 = 7x

x = 42/7

x = 6 centimeters

The length of the rectangle is 6 centimeters