Question

the length of a rectangular sing is 5 time its width. if the sign perimeter is 24 inches. what is the sign area ?

Answer 1

Answer:

20 in²

Step-by-step explanation:

Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so

b = x inches

l = 5x inches

Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as

Perimeter = 2(l + b), substituting this, we have

24 = 2(5x + x)

24 = 10x + 2x

24 = 12x

x = 24 / 12

x = 2 inches.

Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.

l = 5 * 2

l = 10 inches.

Then, we are asked to find the area of the sign. Area of a rectangle is given as

A = l * b, so if we substitute, we have

Area = 10 * 2

Area = 20 square inches