Question

The perimeter or the rectangle is shown is 6x + 14 ft. FInd the value of x Length is 3x, width is 2x + 1 Answer is x = 3 ft. Please show work

Answer 1

x = 3 feet

Explanation:

Perimeter of a rectangle = 2 x ( length + width)

Perimeter = 6x + 14

length = 3x

width = 2x + 1

Substitute the dimensions in the equation for the perimeter of a rectangle

2 (3x + 2x + 1) = 6x + 14

Divide both sides of the equation by 2

3x + 2x + 1 = 3x + 7

5x + 1 = 3x + 7

Collect like terms

2x = 6

divide both sides by 2

x = 3