Question

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

Answer 1

x=5 in (Width)

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

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

Answer 2

5 is the width and 7 is the length