Bunuel wrote:
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
Fairly Simple.
Square:
\(x=\) Side of Square Playground
and cause it says the Area is the same
\(x^2\)=the area of the Square Playground
Rectangle:
The rectangle sides are \(x+30\) and \(x-20\)
Therefore the Area of the rectangle will be \(x+30 X x-20\)
Area:
Considering area of the two are the same\(x^2=x+30 X x-20\)
Solve for \(x\)
\(10x=600\)
\(x=60\)
Side of the square is 60
close
71% (01:34) correct 
