The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensions of the rectangle.
A square is a rectangle. This is TRUE.
Question
Updated 7/20/2020 2:16:15 PM
f
Rating
8
A = L * W, W = L - 7
120 = L * (L - 7)
L^2 - 7L - 120 = 0
(L - 15)(L + 8) = 0
Use only the positive value which is L - 15.
L - 15 = 0
L = 15 inches
Solve for W:
W = L - 7
W = 15 - 7
W = 8 inches
Now lets check:
L * W = 120
15 * 8 = 120
120 = 120 (the values are correct)
L = 15 inches, W = 8 inches

Questions asked by the same visitor
Given the system of equations, what is the solution? x 2y = 7 x - 2y = -1 {(-8, -12)} {(3, 2)} {(-4, 6)}
Question
Updated 8/26/2022 9:47:22 AM
Given the system of equations, the solution for x + 2y = 7 , x - 2y = -1 is x = 3 , y = 2

x + 2y + x - 2y = 7 - 1
2x = 6
x = 6/2
x = 3
3 + 2y = 7
2y = 4
y = 4/2
y = 2.
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