SOLUTION: the length of a rectangle exceeds it's width by 8 inches, and the area is 20 square inches. what is the length of the rectangle?
Algebra.Com
Question 33270: the length of a rectangle exceeds it's width by 8 inches, and the area is 20 square inches. what is the length of the rectangle?
Answer by sarah_adam(201) (Show Source): You can put this solution on YOUR website!
Let the length and width of rectangle be L and W
given:
L = W+8
Area = 20 sq inches
But area = L*W
20 = L*W
20 =(8+W)*W
20 = 8W+
+8W -20 = 0
+10W - 2W -20 = 0
W(W+10)-2(W+10) = 0
(W-2)(W+10) = 0
W - 2 = 0 or W +10 = 0
W = 2 or W = -10 which cannot be as it is a negative value
so W = 2In
L = 2+8 = 10 in
SO length of rectangle is 10 in
RELATED QUESTIONS
The length of an rectangle exceeds its width by 8 inches, and the area is 20 square... (answered by Crystal Artemus)
the length of a rectangle exceeds its width by 3 inches, and the area is 54 square... (answered by Fombitz)
The length of a rectangle exceeds it width by 17 inches and the area 18 square inches.... (answered by stanbon)
The length of a rectangle exceeds its width by 8 inches. The perimeter is 80inches.find... (answered by TimothyLamb)
The perimeter of a rectangle is 36 inches. the length exceeds the width by 4 inches. what (answered by vksarvepalli)
perimeter of a rectangle is 112 inches the length exceeds the width by 4 inches find the... (answered by rfer)
the perimeter of a rectangle is 138 inches. The length exceeds the width by 17 inches.... (answered by rfer)
If the length of a rectangle exceeds the width by 9 inches and the perimeter is 86... (answered by ewatrrr)
The length of a rectangle exceeds its width by 4 inches. find the dimensions of the... (answered by math_tutor2020)