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 1 of 3.
Engr.Md.Rajib Hossain said:
4 years ago
Let us take,
Length=5x
Breadth =1x.
We know,
Perimeter of rectangle=2(length +breath)
According to question,
We can write,
2(5x+1x) = 216.
6x = 216/2,
6x = 108,
X = 108/6,
X = 18cm( answer).
Length=5x
Breadth =1x.
We know,
Perimeter of rectangle=2(length +breath)
According to question,
We can write,
2(5x+1x) = 216.
6x = 216/2,
6x = 108,
X = 108/6,
X = 18cm( answer).
(11)
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)
Aishwarya said:
4 years ago
p:b = 5:1.
2(l+b)/b = 5/1,
2l+2b = 5b,
l = 3b\2.
Area = 216.
l*b = 216,
3b = 20.78,
b = 12.
2(l+b)/b = 5/1,
2l+2b = 5b,
l = 3b\2.
Area = 216.
l*b = 216,
3b = 20.78,
b = 12.
(5)
Karan khitan said:
8 years ago
Suppose 5x nd 1x.
Perimeter = 2 (L*b).
2(5x+1x)=216,
2(6x)=216,
12x=216,
X=18cm.
Perimeter = 2 (L*b).
2(5x+1x)=216,
2(6x)=216,
12x=216,
X=18cm.
(4)
Migma Tshering Tamang said:
5 years ago
Perimeter=2(l+b).
5x=2l+2(x),
3x=2l,
l=3/2x or 1.5x.
Therefore, b=x and l=1.5x.
So, Area;
1.5x * x=216
1.5x^2=216
x^2=144
x=12
Length=1.5x.
= 1.5(12).
= 18 ans.
5x=2l+2(x),
3x=2l,
l=3/2x or 1.5x.
Therefore, b=x and l=1.5x.
So, Area;
1.5x * x=216
1.5x^2=216
x^2=144
x=12
Length=1.5x.
= 1.5(12).
= 18 ans.
(3)
Dave said:
3 years ago
The right answer is 18, b = 12, l = 18.
(2)
Aishwarya said:
4 years ago
p:b = 5:1.
2(l+b)/b = 5/1,
2l+2b = 5b,
l = 3b\2.
Area = 216.
l*b = 216,
3b = 20.78,
b = 12.
2(l+b)/b = 5/1,
2l+2b = 5b,
l = 3b\2.
Area = 216.
l*b = 216,
3b = 20.78,
b = 12.
(1)
MAHI said:
7 years ago
2(5+1)216.
= 12/216
= 18
= 12/216
= 18
(1)
Abi said:
8 years ago
2(5x+x)=216,
12x=216,
x=18.
12x=216,
x=18.
Gayu said:
4 years ago
How to 2/3 =216? Explain.
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