Question

The breadth of a rectangle garden is 2/3 of its length. If its perimeter is 40 m find its dimensions

Answer 1

Given:

Let the length be x  

According to the question breadth of a rectangle garden is 2/3 of its length

breadth = 2/3 x

Perimeter of a rectangle = 2( length + breadth)

$2[x+\frac{2}{3}x ]=40$

$2(\frac{5x}{3} )=40$

$10x=40 \times 3\\10x=120\\x=\frac{120}{10} \\x=12 m$

Length=12m

$breath=12 \times\frac{2}{3} \\breath=4 \times2\\breath=8 m$

Hence its dimensions is 12m and 8m

Answer 2

Let 'x' be the length of the rectangle

According to the question, the breadth of a rectangle garden is 2/3 of its length

Breadth = $\frac{2}{3} x$

The perimeter is given to be 40 m

Formula to be used

Perimeter = $2(l+b)$

           40 = $2(x+ \frac{2}{3} x)$

             40 =$2(\frac{5x}{3} )$

        $40\times3 =10x\\120=10x\\x=12$

So, length = x

                 =12 m

Breadth =  $\frac{2}{3} x$

             =$\frac{2}{3} \times12$

            = 8m

So, the length and breadth will be 12m and 8m respectively