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The short sides of a rectangle are 2 inches. The long sides of the rectangle are three inches less than an unknown number of inches.

If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?

____ inches

Answer :

Final answer:

To find the unknown number for the rectangle's dimensions, we set up an equation based on the perimeter formula. Solving this equation, we find that the value of the unknown number is 12 inches.

Explanation:

To solve this problem, we need to find the unknown number given that the short sides of the rectangle are 2 inches each, and the long sides are three less than an unknown number of inches. The perimeter of the rectangle is given as 22 inches.

First, let's denote the unknown number as x. The formula for the perimeter of a rectangle is 2 times the width + 2 times the length. Here, the width is 2 inches, and the length is x - 3 inches.

So, the equation becomes:

2(2) + 2(x - 3) = 22

Solving for x:

4 + 2x - 6 = 22

2x - 2 = 22

2x = 24

x = 12

Therefore, the value of the unknown number is 12 inches.

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Rewritten by : Barada

perimeter = 2 +2+x-3+x-3=2x-2
22=2x-2
2x=24
x=12
Unknown number is 12
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