Question

A rectangle has an area of 30 scuare meters and a perimeter of 34 meters what are the dimensions of the rectangle?

Answer 1

P = 34 = 2(l + w) | : 2 => l + w = 17 => w = 17 - l

A = 30 = l×w

30 = l(17 - l)

17l - l² - 30 = 0 | (-)

l² - 17l + 30 = 0

l² - 2l - 15l + 30 = 0

l(l - 2) - 15(l - 2) = 0

(l - 15)(l - 2) = 0

l - 15 = 0 => l₁ = 15 m => w₁ = 2 m

l - 2 = 0 => l₂ = 2 m => w₂ = 15 m