Answer:
Base = 12 meters
Height = 2 meters
Step-by-step explanation:
Area of a rectangle = base (height)
Area = 24 square meters
Base = Height + 10
24 = H + 10 (H)
24 = H^2 + 10H
H^2 + 10H - 24 = 0 ---> Factor
(H + 12)(H - 2) = 0 ---> Apply zero property
H + 12 = 0, H = -12
H - 2 = 0, H = 2
We'll take H = 2, since measurements/dimensions aren't supposed to be negative.
So if the height = 2 meters, then
Base = Height + 10
Base = 2 + 10
Base = 12 meters
Therefore, the dimensions of a rectangle with an area of 24 square meters are: Base = 12 meters, Height = 2 meters.
