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21 Apr 2017, 00:05
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The perimeter of a rectangular garden is 80 feet, and the area of the garden is 391 square feet. What is the length of the shorter side of the garden?
A. 17 feet
B. 23 feet
C. 34 feet
D. 40 feet
E. 46 feet
A. 17 feet
B. 23 feet
C. 34 feet
D. 40 feet
E. 46 feet
21 Apr 2017, 02:05
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Perimeter of a rectangular garden is 80 feet ==> 2(L+B) = 80 ==> L+B= 40 feet
Area of the garden is 391 square feet ==> L*B = 391
From the options given, we can see that only 17 & 23 works out.
17+23 = 40
17 *23 = 391
Since 17 is the smallest, length of the shorter side of the garden = 17 feet.
Answer is A. 17 feet
Area of the garden is 391 square feet ==> L*B = 391
From the options given, we can see that only 17 & 23 works out.
17+23 = 40
17 *23 = 391
Since 17 is the smallest, length of the shorter side of the garden = 17 feet.
Answer is A. 17 feet
21 Apr 2017, 10:28
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391 is a weird number.
391 = area =
(some #)L * (some #)W
So I tried prime factorization of 391 first.
391 doesn't fit common divisibility rules, so start with prime 13.
391/13 is not an integer.
Try 391/17. Bingo: 17 x 23 = 391.
Check to see if 17 and 23 satisfy perimeter requirement.
2(17)=34. 2(23)=46. 34+46 = 80
So shorter side is 17. Answer: A
Posted from my mobile device
391 = area =
(some #)L * (some #)W
So I tried prime factorization of 391 first.
391 doesn't fit common divisibility rules, so start with prime 13.
391/13 is not an integer.
Try 391/17. Bingo: 17 x 23 = 391.
Check to see if 17 and 23 satisfy perimeter requirement.
2(17)=34. 2(23)=46. 34+46 = 80
So shorter side is 17. Answer: A
Posted from my mobile device
