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The perimeter of a rectangular patio is 268 feet and its le
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27 May 2018, 03:58
27 May 2018, 03:58
1
Expert Reply
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Question Stats:
85% (01:44) correct
14% (00:59) wrong based on 56 sessions
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The perimeter of a rectangular patio is 268 feet and its length is 168% of its width. What is the area of the patio, in square feet?
(A) 4,000
(B) 4,200
(C) 4,320
(D) 4,600
(E) 4,760
(A) 4,000
(B) 4,200
(C) 4,320
(D) 4,600
(E) 4,760
Re: The perimeter of a rectangular patio is 268 feet and its le
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27 May 2018, 13:19
27 May 2018, 13:19
1
Expert Reply
Explanation
This rectangle problem requires applying the perimeter and area formulas. The area of a rectangle is equal to length times width (A = LW) and the perimeter is 2L + 2W = 268. The question states that the length equals 168% of the width, L = 1.68W.
2L + 2W = 268
L + W = 134
1.68W + W = 134
2.68W = 134
W = 50
Solve for L by plugging 50 in for W in either equation:
L + 50 = 134
L = 84
A = 84(50) = 4,200
Hence option B is correct!
This rectangle problem requires applying the perimeter and area formulas. The area of a rectangle is equal to length times width (A = LW) and the perimeter is 2L + 2W = 268. The question states that the length equals 168% of the width, L = 1.68W.
2L + 2W = 268
L + W = 134
1.68W + W = 134
2.68W = 134
W = 50
Solve for L by plugging 50 in for W in either equation:
L + 50 = 134
L = 84
A = 84(50) = 4,200
Hence option B is correct!
Re: The perimeter of a rectangular patio is 268 feet and its le
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10 Nov 2019, 21:46
10 Nov 2019, 21:46
Make use of a proper dimensions before directly implementing the task.
