Question

The breadth of a rectangular garden is (2/3)rd of its length. If its perimeter is 40 m, find its dimensions.​

Answer 1

♡Question :

The breadth of a rectangular garden is (2/3)rd of its length. If its perimeter is 40 m, find its dimensions.

♡ Answer :

$\bf\purple{Given:}$

• breadth of a rectangular garden is $\dfrac{2}{3}$ of its length.

• Perimeter is 40 m

$\bf\purple{To find :}$

• It's dimensions ?

Explanation :

• Let the length be x .

• therefore the breadth is $\dfrac{2x}{3}$

Perimeter of rectangle = 2 × ( l + b )

$\bf\longrightarrow{40 = 2\times ( x + \dfrac{2x}{3})}$

$\bf\longrightarrow{40 = 2\times ( \dfrac{3x + 2x}{3})}$

$\bf\longrightarrow{40 = 2\times ( \dfrac{5x}{3})}$

$\bf\longrightarrow{40 = \dfrac{10x}{3}}$

$\bf\longrightarrow{40\times 3 = 10x}$

$\bf\longrightarrow{120 = 10x}$

$\bf\longrightarrow{x = \dfrac{120}{10}}$

$\bf\longrightarrow{x = 12}$

• The length is 12 m.

• The breadth is $\dfrac{2x}{3}$

$\bf\longrightarrow{\dfrac{2\times 12}{3}}$

$\bf\longrightarrow{\dfrac{24}{3}}$

$\bf\longrightarrow{8}$

• Therefore the breadth is 8 m

Answer 2

Answer:

Length is 12m and breath is 8m.

Step-by-step explanation:

Let the length of the rectangular garden be x m.

Then the breadth of the rectangular garden is (2/3)x m.

Perimeter of rectangular garden = 40m

=> 2 ( l + b ) = 40

=> 2 ( x + (2/3)x ) = 40

=> x + (2/3)x = 40/2

=> x + (2/3)x = 20

=> (3x+2x)/3 = 20

=> (5/3)x = 20

=> x = (20×3)/5

=> x = 12 m

Therefore, Length = x m = 12 m

Breadth = (2/3)x = (2/3)12 = 8 m