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Vikentia [17]
3 years ago
7

The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x +

2) = 24, where x is the width in inches, represents this situation.
The value of x from the set {1, 3, 5, 7} that holds true for the equation is ___ . So, the width of the rectangle is ___ inches and its length is ___ inches
Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0
2x + 2(x + 2) = 24
2x + 2x + 4 = 24
4x = 24 - 4
4x = 20
x = 20/4
x = 5

The value of x that holds true for the equation is : x = 5.
So the width of the rectangle is 5 inches and the length is (x + 2 = 5 + 2) = 7 inches
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