Question

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

• A. Length is $30m$ and Breadth is $15m$
• B. Length is $20m$ and Breadth is $16m$
• C. Length is $40m$ and Breadth is $30m$
• D. Length is $45m$ and Breadth is $18m$

Answer 1

Answer: (B)

Length is $20m$ and Breadth is $16m$

Let the width of the garden $=x$ meter

Then length=$(x+4)$ meter

Half perimeter $=36m$

So perimeter of garden $=(2\times 36)=72$ meters

According to the question

$\Rightarrow 2(l+b)=72$

$\Rightarrow 2(x+x+4)=72$

$\Rightarrow 2x+2x+4=74\Rightarrow 4x=64\Rightarrow x=16$ meters

Hence,the width of the garden $=16$ meters

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