Type the correct answer in each box. 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

Livia Hensley

22 November, 18:21

Type the correct answer in each box. 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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Brynn Lynch · Answer 1

Step-by-step explanation:

The equation that represents the perimeter of the rectangle is given as;

2x + 2 (x + 2) = 24 where x represents the width.

We solve for x;

2x + 2x + 4 = 24

4x + 4 = 24

4x = 24 - 4

4x = 20

x = 20/4

x = 5

We were informed that the length of the rectangle is 2 inches more than its width. This implies that the length is x+2 = 5+2 = 7.

The value of x from the set {1, 3, 5, 7} that holds true for the equation is 5. So, the width of the rectangle is 5 inches and its length is 7 inches.