# Ex.11.1 Q1 Perimeter and Area - NCERT Maths Class 7

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## Question

The length and the breadth of a rectangular piece of land are $$500 \rm{}\,m$$ and $$300 \,\rm{}m$$ respectively. Find

(i) its area

(ii) the cost of the land, if $$1\,\rm{}m^2$$ of the land costs $$₹10,000$$.

## Text Solution

What is given known?

The length and the breadth of a rectangular piece of land.

What is the unknown?

(i) its area

(ii) the cost of the land, if $$1\,\rm{}m^2$$ of the land costs $$₹10,000.$$

Reasoning:

As the length and breadth of the land are known, the area of the rectangular piece of land can be calculated (area $$=$$ length $$x$$ breadth). After calculating the area, the cost of land can be calculated by multiplying the total area with the cost of $$1\,\rm{}m^2$$ of the land.

Steps:

(i) We know that,

\begin{align}\text{Area of rectangle}& = {\rm{Length}} \times {\rm{Breadth}}\\&= 500 \times 300\\ &= 150000\;\rm{m^2}\end{align}

(ii) Cost of $$1\,\rm{}m^2$$ of the land $$= \rm{}Rs \,10,000$$

\begin{align}\therefore {\text{Cost of 1500 }}{{\rm{m}}^{\rm{2}}}\;{\text{of the land}} &= 10,000 \times 1500 \\&= {\rm{Rs}}1,500,000,000\end{align}

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