Question

Jasper's living room is 26 feet long by 18 feet wide. The area of his living room is 4 times bigger than the area of his bedroom. If the width of his bedroom is 9 feet, what is the length of the bedroom? Show your work

Answer 1

To find the length of Jasper's bedroom, calculate the living room's area, divide by 4 to get the bedroom's area, and then divide the bedroom's area by its width. The length of the bedroom is 13 feet.

Step-by-step explanation:

Jasper's living room has dimensions of 26 feet by 18 feet. To find the area of the living room, we multiply these dimensions: 26 feet × 18 feet = 468 square feet. According to the question, the living room is 4 times bigger than Jasper's bedroom. This means the area of the bedroom is ¼ of the living room's area, which is 468 square feet ÷ 4 = 117 square feet.

Now, we are given that the width of the bedroom is 9 feet. To find the length of the bedroom, we divide the area by the width: 117 square feet ÷ 9 feet = 13 feet. Therefore, the length of Jasper's bedroom is 13 feet.