Question

Five square flower beds each of sides $1m$ are dug on a piece of land $5m$ long and $4m$ wide. What is the area of the remaining part of the land?

Answer 1

Step 1: Find the area rectangular part of land

We know that area of rectangular is given by

Area of Rectangle$=\mathrm{Length}\times \mathrm{Breadth}$

$\mathrm{Length}=5$

$\mathrm{Breadth}=4$

Area of Rectangle$=5\times 4=20$

$\therefore$Therefore the area of the rectangle is $20m^2$

Step 2: Find the area square part of land

We know that area of rectangular is given by

Area of Square$={\left(\mathrm{Length}\right)}^2$

$\mathrm{Length}=1$

Area of Square$=1\times 1=1$

$\therefore$Therefore the area of the square is $1m^2$

Step 3: Find the total area of five square part of land.

Area of each square part of land is $1m^2$

$\therefore$The area of $5$ square bed is

$1\times 5=5m^2$

Step 4: Find the remaining part of land

$\mathrm{Remaining}\mathrm{part}\mathrm{of}\mathrm{land}=\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{Rectangular}\mathrm{part}\mathrm{of}\mathrm{land}-\mathrm{Area}\mathrm{of}5\mathrm{square}\mathrm{bed}$

$$\begin{gathered} =20-5 \\ =15 \end{gathered}$$

Hence, the remaining part of the land is $15m^2$