Question

A garden measures $$17$$ meters by $$24$$ meters. What is the area of the garden, and how much fencing is needed to enclose the garden?

Answer 1

Hint: In the question, it is asking the area of the garden whose length and breadth is given, also it is asking about how much fence is required to enclose the garden, so you have to find the perimeter of the garden so that one can know the length of required fence.
Area and perimeter of a rectangle of length $l$ and breadth $b$ is given as: $$A=l\times b\text{and}P=2\left(l+b\right)$$ respectively.

Complete step by step solution:
In this question, we have given the dimensions of the garden or better say its length and breadth, that is $$17$$ meters by $$24$$ meters. So we can say that the garden is of rectangular shape,
Now we have been asked about the area of the garden, since garden is in rectangular shape, its area will be given as
$A=l\times b$
And we have its dimensions, $$17$$ meters by $$24$$ meters, that is length $l=24$ meters and breadth $b=17$ meters.
So area of the garden will be given as
$$\begin{gathered} A=24\times 17 \\ =408m^2 \end{gathered}$$
And the second part of the question is asking for the length of the fence required to enclose the garden, so eventually we have to find its perimeter,
Perimeter of garden which is rectangular in shape, is given as
$$\begin{gathered} P=2\left(24+17\right) \\ =2\times 41 \\ =82m \end{gathered}$$

Therefore $82m$ of fence is required to enclose the garden.

Note: Here in the solution part, you may think of why we have taken length $l=24$ meters and breadth $b=17$ meters, so here is the reason, when we consider length and breadth of a rectangular area, then we always take the larger one as length and smaller one as breadth.