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?
16 cm
18 cm
24 cm
Data inadequate
None of these
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.

Dave said:   3 years ago
The right answer is 18, b = 12, l = 18.
(2)

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.
(5)

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).
(11)

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.
(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.
(1)

Gayu said:   4 years ago
How to 2/3 =216? Explain.

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.
(3)

MAHI said:   7 years ago
2(5+1)216.
= 12/216
= 18
(1)

TANWEER said:   7 years ago
Simply;

2(l+b)=216.
2(5+2)=2016.
12=216.
Ans = 18.

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.
(4)


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