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
