Question

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

Answer 1

Answer:

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

Answer 2

Solution:

• 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. [Answer ✔]

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