Question

The perimeter of a rectangle is 26 m. the length is 4 m more than two times the width. Find the length and the width of the rectangle.

Answer 1

• Length: 2x + 4
• Width: x

Make 2(length) + 2(width) add up to 26 in an equation.

2(2x + 4) + 2(x) = 26

• Distribute 2 inside the parentheses.

4x + 8 + 2x = 26

• Combine like terms.

6x + 8 = 26

• Subtract 8 from both sides.

6x = 18

• Divide both sides by 6.

x = 3

• Plug 3 for x into the length and width.

Length: 2(3) + 4 = 10 m

Width: (3) = 3 m