Aptitude - Area - Discussion

11. 

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

[A]. 1520 m2
[B]. 2420 m2
[C]. 2480 m2
[D]. 2520 m2

Answer: Option D

Explanation:

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.

Solving the two equations, we get: l = 63 and b = 40.

Area = (l x b) = (63 x 40) m2 = 2520 m2.


Silambarasan said: (Nov 28, 2011)  
How is possible l 63 and b 40?

Meghna said: (Apr 8, 2012)  
l+b=103
l-b=23
-------
2b=80
-------
So b=40, substitute b in any equation you get l= 63
Area =lb= 63*40= 2520m^2

Jaimin said: (Mar 8, 2013)  
(L-b) = 23.
Perimeter of rectangle L+B+L+B=206.

Now,
L=23+b.

Put this value in perimeter formula,
Get value of L.

You can easily find the value of b by [(L-B)=23].
Product of L and B is your answer.

Himanshu said: (Nov 29, 2013)  
(l+b) = 103 ...........(i).
(l-b) = 23 ...........(ii).

Subtracting eq.(ii) from (i).

(l+b)-(l-b) = 103-23.
2b = 80.
b = 40.

Tony said: (Apr 29, 2014)  
L = B+23 and 2(L+B) = 206.

2(B+23+B) = 206.
2(2B+23) = 206.

4B+46 = 206.
4B = 206-46.
4B = 160.
B = 40.

L = 40+23.
L = 63.
LxB = 63x40 = 2520cm*

Srini said: (Apr 8, 2015)  
Any one explain clearly friends?

Mishi said: (May 11, 2015)  
Let the length is x and breadth is y. Then 2x+2y = 206. So we know x-y = 23.

Then we x+y+x-y = 126. So we got x = 63. Then y = 40. After multiple 63*40 = 2520 cm.

Susan said: (May 14, 2016)  
How l+b =103?

Ravneet said: (Jul 3, 2016)  
63 - 40 = 23.
i.e. l - b = 23.
And 63 * 40 = 2520.

Parashuram Rathod said: (Aug 18, 2016)  
2 (l + b) = 206.

Why multiply by 2?

Avinash Kumar said: (Apr 7, 2017)  
Because perimeter of a rectangle =2 * (l+b).

Ruby said: (Apr 13, 2018)  
l-b=23
then put l-23=b in it 2(i+b)=206
Solve it l=63 then substitut valu of l,
63-23=b , b=40 lb=63*40=2520.

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