Question

Half the perimeter of a rectangular Garden whose length is 5 M more than its weight is 38 find the dimension of the garden .​

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

Correct Question :-

Half the perimeter of a rectangular Garden whose length is 5m more than its weight is 38m. Find the dimension of the garden.

Answer:

The dimensions of the rectangular garden is 21.5m*16.5m .

Step-by-step Explanation

To Find :-

• The dimensions of rectangular garden [length and breadth].

★ Solution :-

Given that,

Half the perimeter of the rectangular garden = 38 metres.

Length is 5 metres than it's weight (Breadth).

ㅤㅤㅤㅤㅤㅤㅤAssumption

Let us assume the length and breadth of the garden as (x + 5) metres and (x) metres respectively.

As we know that,

Perimeter of rectangle = 2(l + b) units.

Where,

l = length and b = breadth.

According the question,

In the question is given half perimeter is 38 metres. Therefore, finding the algebraic expression to find the half perimeter with the formula.

➝ {2(l + b)} ÷ 2

Cancelling 2 from both numerator and denominator.

➝ l + b

BTP,

➝ l + b = 38

➝ (x + 5) + (x) = 38

➝ x + 5 + x = 38

➝ 2x + 5 = 38

➝ 2x = 38 - 5

➝ 2x = 33

➝ x = 16.5

∴ We got, The value of x as 16.5 .

Now, The length and breadth is :-

➝ Length = (x + 5) = (16.5 + 5) = 21.5m

➝ Breadth = (x) = 16.5m

Hence,

The length and breadth of the garden is 21.5m and 16.5m .