# 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

• Subject:

Mathematics
• Author:

hutchinson
• Created:

7 months ago

5 is the width and 7 is the length

x=5 in (Width)

x+2=5+2=7 in (Length)

Step-by-step explanation:

You are given the equation 2x+2(x+2)=24 to solve for x where x is the width.

First step, use distributive property 2x+2x+4=24

Second step, subtract 4 on both sides  and combine the like terms on the left hand side: 4x=20

Divide both sides by 4:  x=20/4

So x=5 in

And since length is 2 more than the width so the length is 2+5=7 in

Quick Answer: 3 Explanation: The equation 2x + 2(x + 2) = 24 represents the situation in which the length of a rectangle is 2 inches more than its width. To solve this equation, first factor the left side of the equation by subtracting 24 from both sides, yielding 2x + 2(x + 2) - 24 = 0. Then distribute the 2 on the right side, resulting in 2x + 2x + 4 = 0. Subtract 4 from both sides of the equation to get 2x = -4. Finally, divide both sides by 2 to obtain x = -2. Given the set {1, 3, 5, 7}, the value of x that holds true for the equation is 3. So, the width of the rectangle is 3 inches and its length is 5 inches.

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