A rectangular photograph is twice as long as it is wide. The perimeter of the photograph is 84 cm.

Find the length and the width of the photograph.

Find the length and the width of the photograph.

x = width

2x = length {twice as long as it is wide}

Perimeter of a rectangle is 2(width) + 2(length)

2x + 2(2x) = 84 {perimeter is 2(width) + 2(length)}

2x + 4x = 84 {multiplied}

6x = 84 {combined like terms}

x = 14 {divided each side by 6}

2x = 28 {substituted 14, in for x, into 2x}

**width = 14 cm**

length = 28 cm

length = 28 cm

**- Algebra House**