Aptitude - Area - Discussion

Discussion Forum : Area - General Questions (Q.No. 11)
11.
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
1520 m2
2420 m2
2480 m2
2520 m2
Answer: Option
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.

Discussion:
20 comments Page 1 of 2.

Aishwarya said:   3 years ago
How come 40 and 63? Please explain me.
(3)

Gresha said:   4 years ago
2(l+b) = perimeter.
(L+b) = half of perimeter.
206 = 2(l+b),
so, (l+b)= 206/2,
=103.
(4)

Bharath said:   4 years ago
Not understanding this, please explain it.
(1)

Gundu. Jadhav said:   4 years ago
How we get 160? please explain.
(1)

Anna said:   4 years ago
Could you please explain how the 103? Explain please.
(1)

Pradnya said:   4 years ago
@Niya.

l-b=23 perimeter is calculated as or 2*(l+b) so perimeter given 206.
2(l+b)=206.
(l+b)=206 divide 2.
So, l+b= 103.
(1)

Niya said:   5 years ago
How we get 103? Please explain.
(1)

Enyos said:   6 years ago
Supposing you say width is x, then length is x+23, perimeter p = 2x +2(x+23)=206.

Solving it gives 4x = 160; then x = 40, length therefore is 40+23 = 63.

Area will then be; length *width; implying 63*40 = 2520.
(1)

Ruby said:   7 years ago
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.

Avinash kumar said:   8 years ago
Because perimeter of a rectangle =2 * (l+b).
(1)


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