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

Answer:

The length ot rectangle is 3 units.

Step-by-step 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 :

$perimeter = 2l + 2w$

$area= l \times w$

$perimeter = area$

$2l + 2w = lw$

$let \: w = 6$

$2l + 2(6) = 6l$

$2l + 12 = 6l$

$12 = 6l - 2l$

$4l = 12$

$l = 3 \: units$