# 5. half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. find the dimensions of the garden.

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## Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m . Find the dimensions of the garden.

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Question

## Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

**A**

## Length is 30 m and Breadth is 15 m

**B**

## Length is 20 m and Breadth is 16 m

**C**

## Length is 40 m and Breadth is 30 m

**D**

## Length is 45 m and Breadth is 18 m

Medium Open in App Solution Verified by Toppr

Correct option is B)

Let the width of the garden =x meterThen length=(x+4) meter

Half perimeter =36 m

So perimeter of garden =(2×36)=72 meters

According to the question

⇒2(l+b)=72 ⇒2(x+x+4)=72

⇒2x+2x+4=74⇒4x=64⇒x=16 meters

Hence,the width of the garden =16 meters

The length of the garden =(16+4)=20 meters

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## Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36m . Find the dimensions of the garden.

Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36m . Find the dimensions of the garden.

Byju's Answer Standard VI Mathematics

Solving Inequalities based on Word Problems

Half the peri... Question

Half the perimeter of a rectangular garden, whose length is

4

m more than its width, is

36 m .

Find the dimensions of the garden.

Open in App Solution

**Find the value of the dimensions of garden**

Let the width of the rectangle be

x and the length be x+4

Given: Half of the perimeter of the rectangle

=36 m ⇒12×

perimeter of rectangle

=36 m

Perimeter of rectangle

=2×36 m 2(l+b)=72 (x+x+4)=36 2x=32 x=16 Therefore, length =x+4⇒16+4 Length =20 Breadth =x Breadth =16

**Hence, the length and breadth of the rectangle are**

20

**and**

16

**respectively.**

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SIMILAR QUESTIONS

**Q.**Half the perimeter of a garden, whose length is 4 more than its width is 36 m. Find the dimension of the garden.

**Q.**Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of garden.

**Q.**Question 5

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

**Q.**

Half the Perimeter of a rectangular garden whose length is4 meter more than its width is36 meter. Find the dimensions of the garden

**Q.**if the perimeter of rectangular garden whose length is 4m more than its width is 40 . find the dimensions of garden

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Standard VI Mathematics

## Half the perimeter of a garden whose length is 4 m more than its width is 36 m Find the dimensions of the garden

Half the perimeter of a garden whose length is 4 m more than its width is 36 m Find the dimensions of the garden - Given : Half the perimeter of a garden whose length is 4 m more than its width is 36 m.To do:We have to find the dimensions of the garden.Solution : Perimeter of a rectangle of length $l$ and breadth $b = 2 (l + b)$.Let the length of the rectangle be $l$ and the width of the rectangle be $b$.There

## Half the perimeter of a garden whose length is 4 m more than its width is 36 m. Find the dimensions of the garden.

AcademicMathematicsNCERTClass 10

Given :

Half the perimeter of a garden whose length is 4 m more than its width is 36 m.

**To do:**

We have to find the dimensions of the garden.

Solution :

Perimeter of a rectangle of length

l l and breadth b=2(l+b) b=2(l+b) .

Let the length of the rectangle be

l l

and the width of the rectangle be

b b . Therefore,

Half the perimeter of rectangle

= 2 (l + b) 2 =2 (l + b)2

Half the perimeter of rectangle

=l+b =l+b .

Given that half the perimeter of the rectangular garden

=36 m =36 m . l+b=36 m l+b=36 m ......(i)

It is given that, length of the rectangular garden is 4 m more than its width.

This implies, l=b+4 l=b+4 .......(ii)

Substituting (ii) in (i), we get,

b+4+b=36 b+4+b=36 2b=36−4 2b=36−4 2b=32 2b=32 b= 32 2 b=322 b=16 m b=16 m Substitute b=16 b=16 in (ii) l=16+4 l=16+4 l=20 m l=20 m

Therefore, the length of the rectangular garden is

20 m 20 m

and the width of the rectangular garden is

16 m 16 m . Tutorialspoint

**Simply Easy Learning**

Updated on 10-Oct-2022 10:33:47

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