Question

The breadth of a rectangular garden is 23 of its length. If its perimeter
is 40 m, find its dimensions

Answer 1

Step-by-step explanation:

2(23+x)=40

23+x = 40/2

23+x =20

x=20-23

x= -3

Answer 2

Given,

$\[\begin{array}{l}breadth\left( b \right) = 23length\left( l \right)\\perimeter\left( p \right) = 40m\end{array}\]$

Solution,

Consider the length and breadth of rectangular garden is l and b.

$\[\begin{array}{l}perimeter\left( p \right) = 2\left( {l + b} \right)\\ \Rightarrow 2\left( {l + b} \right) = 40\\ \Rightarrow 2\left( {l + 23l} \right) = 40\\ \Rightarrow 24l = 20\\ \Rightarrow l = \frac{5}{6}m\end{array}\]$

Know that,

$\[b = 23l\]$

$\[\begin{array}{l} \Rightarrow b = 23 \times \frac{5}{6}m\\ \Rightarrow b = \frac{{115}}{6}m\end{array}\]$

Hence the dimensions of garden are $\[\frac{5}{6}m\]$ and $\[\frac{{115}}{6}m\]$.