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)
$p = 2 \times b + 2 \times h$
where b is the base and h is the height, then
$12 = 2 \times 4 \times 2 \times h \\ \\ h = \frac{12 - (2 \times 4)}{2} \\ \\ h = 2$
Being the area (A)
$a = b \times h \\ \\ a = 4 \times 2 \\ \\ a = 8 {m}^{2}$