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the browns need new carpet for a room with rectangular floor that is 35 feet wid

ID: 1720727 • Letter: T

Question

the browns need new carpet for a room with rectangular floor that is 35 feet wide and 43 feet long. To save money, they will install the carpet themselves. The carpet comes on a large roll that is 9 feet wide. The carpet store will cut any length of carpet they like, but the Browns must buy the full 9 feet in width.
1. Draw clear, detailed pictures showing two different ways the Browns could lay their carpet
2. for each way of laying the carpet, find how much carpet the Browns will need to buy from the carpet store. Which way is less expensive for the Browns?

Really struggling with this math problem! Thank you for the help!

Explanation / Answer

(1) along the 43 foot length which will require 4 of 43 foot strips

9*4 = 36 feet is width but we need 35 feet

so, 1 feet is more width for 43 feet length i.e 1*43 = 34 square ffet more carpet that he lose

(2) along the 35 foot length, which will require 5 by 35 foot lengths

5*9 = 45 width but Brown require 43 so 2 feet width is more.

so he lose 2*35 = 70 sq feet

4 carpets of 43 feet length lose less carpet so it would be less expensive.