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31 Oct 2015, 05:37
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:30) correct
25%
(01:09)
wrong
based on 613
sessions
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A square playground has the same area as a rectangular playground that is 30 meters longer but 20 meters narrower. What is the length, in meters, of a side of the square playground?
(A) \(10\sqrt{5}\)
(B) \(10\sqrt{6}\)
(C) 25
(D) 50
(E) 60
(A) \(10\sqrt{5}\)
(B) \(10\sqrt{6}\)
(C) 25
(D) 50
(E) 60
31 Oct 2015, 06:01
Kudos
Bookmarks
Bunuel
A square playground has the same area as a rectangular playground that is 30 meters longer but 20 meters narrower. What is the length, in meters, of a side of the square playground?
(A) \(10\sqrt{5}\)
(B) \(10\sqrt{6}\)
(C) 25
(D) 50
(E) 60
(A) \(10\sqrt{5}\)
(B) \(10\sqrt{6}\)
(C) 25
(D) 50
(E) 60
Solution: \(a^{2} = (a+30)(a-20) ==> 10a=600 ==> a=60\)
Option E
General Discussion
31 Oct 2015, 06:52
Kudos
Bookmarks
Bunuel
A square playground has the same area as a rectangular playground that is 30 meters longer but 20 meters narrower. What is the length, in meters, of a side of the square playground?
(A) \(10\sqrt{5}\)
(B) \(10\sqrt{6}\)
(C) 25
(D) 50
(E) 60
(A) \(10\sqrt{5}\)
(B) \(10\sqrt{6}\)
(C) 25
(D) 50
(E) 60
Fairly Simple.
x= Side of Square Playground
and cause it says the Area is the same
\(X^2\)=the area of the Square Playground
Now,
The rectangle sides are \(x+30 and x-20\)
Therefore the Area of the rectangle will be \(x+30 X x-20\)
Considering area of the two are the same\(x^2=x+30 X x-20\)
Solve for \(x\)
\(10x=600\)
\(x=60\)
