Question

The perimeter of a rectangle is 87 ft. The length is x ft and the width is 19 ft. What is the length of the rectangle, in feet? Write and solve an equation.

Answer 1

Perimeter is all sides added up.

So, we know the width is 19ft and the length is x feet. We also know that the perimeter is 87 feet.

What we can do is make an equation to solve for x.

2x + 2(19) = 87

First, multiply 2 and 19.

2 x 19 = 38

2x + 38 = 87

Next, subtract 38 from both sides to move 38.

2x = 87 - 38

2x = 49

Lastly, divide both sides by 2 to get the value of x.

x = 49/2

x = 24.5

Thus, the length of the rectangle is 24.5ft

We can plug it into our equation to check if its correct.

2(24.5) + 2(19) = 87

24.5 x 2 = 49

2 x 19 = 38

49 + 38 = 87