Answer:
Explanation:
W = Width
L = Length
A = LW
We know that the width is seven less than twice the length so we substitute it in the equation
A= (L)(2L-7)
We also know that the area is 30, so we substitute that too!
20=(L)(2L-7)
Combine like terms!
3L - 7 = 20 → 3L = 27
Divide both sides by 3.
L = 9
We're almost done! Now we plug the length back into the width equation to find the width:
W= 2(9) - 7
W= 18 - 7
W= 11
Therefore, the length of the rectangle is 9 and the width is 11. Hope this helps!