The area of a rectangle is 70 square inches. The length is x – 2, and the width is x + 1. Find the value of x, and the dimension
s of the rectangle. A=lw x =
1 answer:
Answer:
x = 9
Length = 7
Width = 10
Step-by-step explanation:
Given that :
Length = x - 2
Width = x + 1
Area = 70in²
Area of rectangle
(x - 2) * (x + 1)
x² + x - 2x - 2 = 70
X² - x - 2 = 70
x² - x - 2 - 70
x² - x - 72 = 0
x² - 9x + 8x - 72 = 0
Factorize
x(x - 9) +8(x - 9) = 0
(x - 9) = 0 or (x + 8) = 0
x = 9 or x = - 8
x cannot be negative ; Hence, x = 9
Length = x - 2 = 9 - 2 = 7
Width = x + 1 = 9 + 1 = 10
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