Question

Kathryn and Megan are each going to buy new carpet for their bedrooms. Megan uses 120 ft 2of carpet in her bedroom. Kathryn's bedroom is 1.5 times as long and wide as Megan's bedroom. How many square feet of carpet will Kathryn use for her bedroom? (Hint: carpet is talking about area )

Answer 1

270 ft²

Step-by-step explanation:

Let the length of Meghan room be a and the width of Meghan room be b. Given that the area of Meghan room is 120 ft², hence:

a × b = area

ab = 120 ft²

Let the length of Kathryn room be x and the width of Kathryn room be y. The area of Kathryn room is given as:

Area = x × y

Area = xy

But Kathryn's bedroom is 1.5 times as long and wide as Megan's bedroom. Therefore:

x = 1.5a, y = 1.5b

Area of Kathryn room = xy = 1.5a × 1.5b = 2.25ab

ab = 120 ft²

Area of Kathryn room = 2.25(120 ft²) = 270 ft²

The area of Kathryn room is 270 ft²