Question

A rectangle's perimeter and area have the same value. The width of the rectangle is 6 units. What is the length of the rectangle in units?

Answer 1

The length ot rectangle is 3 units.

Explanation:

The formula for perimeter is P = 2l + 2w and the area is A = l×w. Assuming that the perimeter and area have the same values so you have to compare it :

`perimeter = 2l + 2w`

`area= l * w`

`perimeter = area`

`2l + 2w = lw`

`let \: w = 6`

`2l + 2(6) = 6l`

`2l + 12 = 6l`

`12 = 6l - 2l`

`4l = 12`

`l = 3 \: units`