Official Guide
The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border?
1) The perimeter of the rug is 44 feet.
2) The width of the border on all sides is 1 foot.
OA E
The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the...
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Say the inside length and the breadth of the rug (excl. borders) are a and b, respectively.AAPL wrote: ↑Sat Jul 04, 2020 12:47 pmOfficial Guide
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The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border?
1) The perimeter of the rug is 44 feet.
2) The width of the border on all sides is 1 foot.
OA E
So, we have to get the value of ab.
Let's take each statement one by one.
1) The perimeter of the rug is 44 feet.
This information is of no use. We do not know the width of the border, l and b. Insufficient.
2) The width of the border on all sides is 1 foot.
Certainly insufficient.
(1) and (2) together
From both statements, we get
2[(a + 2) + (b + 2)] = 44
(a + 2) + (b + 2) = 22
a + b = 18
From this information, we cannot get the value of ab. Insufficient.
Correct answer: E
Hope this helps!
-Jay
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