Question

The area of Malcolm’s room is 160 square feet. The length of his room is 16 feet. What is the width of his room? What is the perimeter of his room? Show your work.

Answer 1

Well we know that area is length x width, so let's start with this equation.

A = l x w

Now we plug in what we know to figure out the width. We know that the area is 160 square feet, and the length is 16 feet.

160 = 16 x w

Now we use some basic algebra to isolate the w and find our answer.

160/16 = 16 x w/16

10 = w

Now we know the length is 16 ft and the width is 10 ft. We can find the perimeter by using the formula for perimeter.

P = 2l + 2w

Now let's plug it all in to find P (perimeter).

P = 2(16) + 2(10)

P = 32 + 20

P = 52

So our answer is the width of Malcolm's room is 10ft, and the perimeter of his room is 52ft.

Hope this helps and good luck!

Answer 2

The width=10

Perimeter=52