Question

What are the dimensions of a rectangle with an area of 72 square centimeters and a perimeter of 36 centimeters?

Answer 1

Answer:

length=12 cm, width=6 cm

Step-by-step explanation:

$lw = 72$

$w = \frac{72}{l}$

$2(l + w) = 36$

$l + w = 18$

$l + \frac{72}{l} = 18$

${l}^{2} + 72 = 18l$

${l}^{2} - 18l + 72 = 0$

$(l - 12)(l - 6) = 0$

$l = 12$

$w = 6$