A rectangular bedroom floor has area of 100 square feet and a length of 10 feet. The perimeter of the living room is twice that of the bedroom. What is the perimeter of the living room floor?

Answer 1

Hi Rachel,

This question is tricky because it requires you to sort through so many different pieces of information. Let's take it one step at a time.

"A rectangular bedroom floor has an area of 100 square feet and a length of 10 feet. The perimeter of the living room is twice that of the bedroom. What is the perimeter of the living room floor?"

A rectangular bedroom floor has an area of 100 square feet and a length of 10 feet.

You know that Area = length × width

In this case 100 ft² = 10 ft × width

So what is the width of the bedroom?

The perimeter of the living room is twice that of the bedroom.

We need to start by finding the perimeter of the bedroom. Perimeter is the distance around, which you find by adding up the lengths of the sides. When working with a rectangle, P = 2l + 2w

Perimeter of the bedroom = 2(10) + 2(w)

For the width, use the width of the bedroom that you found above.

Now that you have the perimeter of the bedroom, you only need to multiply it by two to find the perimeter of the living room. Don't forget to include the units (feet) in the final answer!