Question

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


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Answer 1

We will be multiplying 4 into 36 so the answer will be 144 sq.m

Answer 2

Answer ::

The area of Rectangular garden is 320m².

Step-by-step explanation :-

To Find:-

• The area of the Rectangular garden

Solution:-

Given that,

• Half the perimeter of the garden = 36m

∴ Full perimeter = ( 2 × 36 )m

= 72m

• Half the perimeter of a rectangular garden, whose length is 4 m more than its width ( Breadth )

Let us assume the length and breadth as ( x + 4 ) and x respectively,

The length and breadth of the garden is,

➛ 2 ( Length + Breadth ) = Perimeter

➛ 2 ( x + ( x + 4 ) = 72

➛ 2 ( x + x + 4 ) = 72

➛ 2 ( 2x + 4 ) = 72

➛ 2x + 4 = 72 / 2

➛ 2x + 4 = 36

➛ 2x = 36 - 4

➛ 2x = 32

➛ x = 32 / 2

➛ x = 16

Now, the length and Breadth of Rectangular garden is,

• Length, we assumed length as ( x + 4 )

➛ x + 4

➛ 16 + 4

➛ 20

The length is 20m.

• Breadth, we assumed breadth as x

➛ x

➛ 16

The breadth is 16m.

ACCORDING THE QUESTION,

The area of Rectangular garden is,

As we know that,

Area of rectangle = l × b,

Where,

• l = Length
• b = Breadth

Therefore,

➛ Area = 20 × 16

➛ 320

The area of Rectangular garden is 320m².