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

## 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 \(= \rm{}Rs \,10,000\)

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