Answer:
903.15 cm squared.
Explanation:
1. In order to find the area, it is important to find the width first. Given that the length of one side of the rectangle is 40.5, that means the other length must be 40.5 due to parallel sides of a rectangle having the same measurements. Using that information, make an algebraic equation using the length and widths to find out what width makes the perimeter 125.6 cm. This equation would be 2(40.5) + 2w = 125.6 as the perimeter equation is 2l + 2w = perimeter.
2. Simplify the previously given equation by multiplying 2 by 40.5, which equals 81. Now the equation is simplified to 81 + 2w = 125.6
3. Subtract by 81 on both sides to get the variable by itself in order to find out what w signifies the width is equal to. Now the equation is simplified to 2w = 44.6
4. Divide by 2 on both sides to find what w is equal to find out the width of the rectangle. Now w = 22.3
5. Now that you know that the width of the rectangle is equal to 22.3 cm and the length is equal to 40.5 cm, put those numbers into the area equation of a rectangle, which is l * w, also known as length * width. So 22.3 multiplied by 40.5 results in the area being 903.15 cm squared.