Answer:
W = 4 cm and L = 9 cm
Explanation:
I don't see a question, but will assume the problem wants the length(L) and width(W) of the described rectangle.
Let L and W stand for Length and Width.
Area of a rectangle is given by L*W
We are told that L*W = 36 cm^2
We are also told that L = 4W-7 ["length of a rectangle is 7 cm less than four times its width"]
Substituting the second into the first equation:
L*W = 36 cm^2
(4W-7)*W = 36 cm^2 [L = 4W-7]
4W^2-7W - 36 cm^2 = 0
(W-4)(4W+9) = 0
The roots are: 4 and -(9/4)
We'll use the positive value: W = 4
Since L = 4W-7:
L = 4(4)-7
L = 16-7
L = 9 cm