The length of a rectangular sign is 5 times its width. If the sign's perimeter is 36 inches, what is the signs area in square inches

9 inches

Answer: The area is 45 square inches.

Step-by-step explanation:

so if we know that the the length is 5 times the width then we could represent the length as 5x and x for the width.

And we know the perimeter of the sign so we could set up equation to solve for the side lengths.

The perimeter of a rectangle is 2l + 2w which means 2 times the length plus two times the width.

2 (5x) + 2 (x) = 36

10x + 2x = 36

12x = 36

x = 3

Now we know the value of x so we will plot it into the length and with to find the actually side lengths.

length = 5 (3) = 15

width = 3

Check: 15 + 15 + 3 + 3 = 36

Now we know the side lengths so to find the area we will have to multiply the length times the width.

3 * 15 = 45