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

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