Question

the perimeter of a field is 72p m .the length of the field is 3 times its breadth .what is are long length and breadth ​

Answer 1

Answer:

length=27

breadth=9

Step-by-step explanation:

let breadth be x

length = three times x i.e.3x

so,

72=2(3x+x)

72=2*4x

72=8x

x=72/8

x=9

now as x =9

length=3x = 3*9=27

and breadth= x = 9

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Answer 2

Correct Question :

The perimeter of a rectangular field is 720 m. The length of the field is 3 times its breadth. What is the length and the breadth.

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Diagram :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.4mm}\put(11.3,2){\sf{\large{x}}}\put(9.3,0.7){\sf{\large{3x}}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

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Answer :

• The length of the field = 270 m.
• The breadth of the field = 90 m.

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Given :

• The perimeter of a rectangular field = 720 m.
• The length of the field is 3 times it's breadth.

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To Find :

• The length and the breadth of a rectangular field.

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Solution :

Let,

The breadth of a rectangular field be x.

The length of a rectangular field be 3x because according to the question the length of the field of the field is 3 times it's breadth.

Given,

Perimeter of a rectangular field = 720 m

We know that,

Perimeter of a rectangle = 2(length + breadth)

So,

2(length + breadth) = 720 m

$\hookrightarrow 2(3x + x) = 720 \: m$

$\hookrightarrow 2(4x) = 720 \: m$

$\hookrightarrow 8x = 720 \: m$

$\hookrightarrow x = \cancel\dfrac{720}{8} \: m$

$\hookrightarrow x = \cancel \dfrac{360}{4} \: m$

$\hookrightarrow x = \cancel \dfrac{180}{2} \: m$

$\hookrightarrow x = \cancel \frac{90}{1} \: m$

$\hookrightarrow x = 90 \: m$

So, the length and the breadth of a rectangular field :

The length of the field = 3x = 3 × 90 m = 270 m.

The breadth of the field = x = 90 m.

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Verification :

Perimeter of a rectangular field = 720 m

2(length + breadth) = 720 m

Now we have,

• The length of the field = 270 m.
• The breadth of the field = 90 m.

Now, substitute both the values of the length and the breadth of the field in the formula of the perimeter of a rectangular field.

$\hookrightarrow 2(270 \: m + 90 \: m) = 720 \: m$

$\hookrightarrow 2(360 \: m) = 720 \: m$

$\hookrightarrow 720 \: m = 720 \: m$

Hence Verified !!