Aptitude - Area - Discussion
Discussion Forum : Area - General Questions (Q.No. 3)
3.
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Answer: Option
Explanation:
| 2(l + b) | = | 5 |
| b | 1 |
2l + 2b = 5b
3b = 2l
| b = | 2 | l |
| 3 |
Then, Area = 216 cm2
l x b = 216
| l x |
2 | l | = 216 |
| 3 |
l2 = 324
l = 18 cm.
Discussion:
22 comments Page 3 of 3.
Asha Sethi said:
3 years ago
It's wrong the correct answer is 12.
Let,
l = x
b = y
P = 5x.
P = 2(x+y) = 5x.
= 2x+2y = 5x,
=2y = 3x,
=y = 3x/2.
Area=l*b=216.
x*3x/2=216,
x*x=432/3,
x= √144,
x=12.
Therefore length(x) of the rectangle is 12.
Let,
l = x
b = y
P = 5x.
P = 2(x+y) = 5x.
= 2x+2y = 5x,
=2y = 3x,
=y = 3x/2.
Area=l*b=216.
x*3x/2=216,
x*x=432/3,
x= √144,
x=12.
Therefore length(x) of the rectangle is 12.
(5)
Dave said:
3 years ago
The right answer is 18, b = 12, l = 18.
(2)
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