Given: length = 5 + w
area = 36 square meter
Formula: l*w = 36
Sol'n: (5 + w) w = 36
w^2 + 5w = 36
w^2 + 5w -36 = 0
(-w - 9) (-w + 4) = 0
-w - 9 = 0 | -w + 4 = 0
-w = 9 | -w = -4
-1(-w) = (9) -1 | -1(-w) = (-4) -1
w = -9 | w = 4
{since there's no negative measurement, we will choose w = 4}
width = 4
length = 5 +w
= 5 +4
= 9
Checking:
L*W = Area
9m*4m = 36m^2
