Question

Find the area of a rectangle with a perimeter of 12 meters and a base of 4 meters

Answer 1

Considering the perimeter (P)

`p = 2 * b + 2 * h`
where b is the base and h is the height, then

`12 = 2 * 4 * 2 * h \\ \\ h = (12 - (2 * 4))/(2) \\ \\ h = 2`
Being the area (A)

`a = b * h \\ \\ a = 4 * 2 \\ \\ a = 8 {m}^(2)`