Answer:
H= 12, W=4
Step-by-step explanation:
let H = height
let H-8 = width
We know that the area of the rectangle is A = H*W
now we substitute the statements we have made:
H(H-8) = 48
H^2 - 8H - 48 = 0
Simplify:
(H-12)(H+4) = 0
So now we have 2 options H = -4 or H = 12, having a -ve number as height does not make sense so we use 12.
We know that width is H-8 so now we do 12-8 which is 4.
Therefore width is 4 and height is 12.