Question

I GIVE HIGH POINTS!!! PLEASEEE HELP MEEE!!! THANKSSS!! One side of a rectangle is 10 feet shorter than three times another side. Find the length of the shorter side if we also know that the perimeter of the rectangle is 20 feet.

Answer 1

Let the shorter side of the rectangle be x, so the longer side is 3x - 10. We use the formula for the perimeter of a rectangle (20 = 2(x + 3x - 10)) to solve for x and find that the shorter side is 5 feet.

Step-by-step explanation:

This is a problem in algebra and involves setting up and solving a linear equation based on the information given about the sides of a rectangle and its perimeter. If we let the shorter side of the rectangle be x, then one longer side according to the problem can be expressed as 3x - 10. The perimeter of a rectangle is given by the formula P = 2(length + width). In this case, we know the perimeter (P) is 20 feet, so we can set up the equation as 20 = 2(x + 3x - 10). Solving this equation gives x = 5, meaning that the shorter side of the rectangle is 5 feet.

Learn more about Rectangle Perimeter