A square playground has the same area as a rectangular playground that

Question

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

anudeep133 · Accepted Answer

Solution:   a^{2} = (a+30)(a-20) ==> 10a=600 ==> a=60

Option E

kbangia · Answer

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

kbangia · Answer

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

keats · Answer

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?

___________________

Let the side of the square be 'a' and that of rectangle be l (length) and b (breadth)
l = a+30
b = a-20
a^2 = (a+30) (a-20)
a^2 = a^2 +10a -600
a=60

Abhishek009 · Answer

a^2 = ( a + 30 ) ( a - 20 )

Or,  a^2 = a^2+10a−600

Or,  10a = 600

So,  a = 60

Answer will be (E) 60

DiaPro · Answer

What level problem is this ? >650 ?

Posted from my mobile device

Bunuel · Answer

You can check the difficulty level of a question along with the stats on it in the first post. For this question Difficulty = 600-700 Level. The difficulty level of a question is calculated automatically based on the timer stats from the users which attempted the question.

Abhishek009 · Answer

a^2 = (a+30)(a-20)

Or,  a^2 = a^2 +10a - 600

Or,  a = 60 , Hence side of square must be (E) 60

bumpbot · Answer

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A square playground has the same area as a rectangular playground that

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