A rectangle has a length of 12 and a width of 2x. If the area of the rectangle is 12, what is the rectangle's perimeter?
width = 2x
length = 12
area = 12
Area of a rectangle = length x width
2x(12) = 2x {area is length x width}
24x = 12 {multiplied}
x = 0.5 {divided each side by 24}
2x = 1 = width {substituted 0.5, in for x, into 2x}
width = 1 and length = 12
Perimeter of a rectangle is 2(width) + 2(length)
= 2(1) + 2(12) {substituted length and width into perimeter formula}
= 2 + 24 {multiplied}
= 26 {added}
Perimeter is 26
{a shortcut would be to identify that the length was the same as the area,
therefore the width would have to be 1}
- Algebra House
