Question

A rectangle is 6 inches longer than it is wide. The perimeter of the rectangle is 44 inches.Write and solve an equation for the length and width of the rectangle.

Answer 1

Length is 14 in

Width is 8 in

Explanation:

Given:

• Length = l
• Width = w
• Perimeter = P = 44 in

Solution

Equations as per given:

• l - w = 6
• P= 2(l+w) = 44 ⇒ l +w = 22

Adding up the two equations:

• l - w + l +w = 6 + 22
• 2l = 28
• l = 28/2
• l = 14 in

Then finding the value of w:

• w = l -6
• w = 14 - 6
• w = 8 in

Answer: The length of the rectangle is 14 inches and width is 8 inches