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

Question

Mathematics

Chance Garner

24 November, 03:38

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

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Answers (1)

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Ruben Riggs · Answer 1

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