The breadth of a rectangular garden is (2/3)rd of its length. If its p

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