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 meter

Then 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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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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