Lin had a rectangular carpet. It was too large for her living room, and so on each side of the carpet she cut a strip 1 foot wid

Question

jarptica [38.1K]

2 years ago

15

Lin had a rectangular carpet. It was too large for her living room, and so on each side of the carpet she cut a strip 1 foot wid

e. As a result, the are of he carpet became 26 ft smaller. What was the original perimeter of the carpet/

Mathematics

2 answers:

Kipish [7] · Answer 1 · 2022-09-30T13:33:54+03:00

Answer:

30 Feet

Step-by-step explanation:

30 ft Let's assume the original dimension of the carpet was LxW. Now let's have Lin cut a 1 foot wide strip from the length. That gives her a strip that's L feet long. She then cuts a strip from the other side, giving her another strip that L feet long. She then cuts a strip from the width, giving her a 3rd strip that's (W-2) feet long. And finally, she cuts a 4th strip that's also W-2 feet long. So the total length of all those strips is L + L + W - 2 + W - 2 = 2L + 2W - 4 feet long. And since all the strips are 1 foot wide, they cover 2L + 2W - 4 square feet. So: 2L + 2W - 4 = 26 2L + 2W = 30 Now the original perimeter of the carpet is 2L + 2W, therefore the original perimeter is 30 feet.

pishuonlain [190] · Answer 2 · 2022-09-30T12:31:23+03:00

pishuonlain [190]2 years ago

5 0

Answer:

30 feet

Step-by-step explanation: