Question

Alg. 1 question, I will mark brainliest for the best/first answer!
One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle?

Which of the following equations could be used to solve the problem?
A. 2 x + 2( x - 3) = 54
B. 2 x - 3 = 54
C. 2 x + 2 x - 3 = 54

Answer 1

Answer:

A

Step-by-step explanation:

Let the two sides of the rectangle be x and y.

Then the perimeter will be:

$2x+2y=P$

Since the perimeter is 54:

$2x+2y=54$

We know that one side of the rectangle is 3 inches shorter than the other.

Let y be the shorter side. It is 3 less than x.

Therefore:

$y=x-3$

Then by substitution, we acquire:

$2x+2(x-3)=54$

The answer is A.