Question

A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides a 50 cm wide flower bed is there as shown in Fig. 9.58. Find the area of the remaining portion.​

Answer 1

Answer:

The area of the remaining portion is $31.5\;m^2.$

Step-by-step explanation:

Given: A $10\;m$ long and $4\;m$ wide rectangular lawn is in front of a house and $50\;cm$ wide flower bed is there.

To Find: The area of the remaining portion.

Solution:

Dimension of rectangular lawn $=$ length $\times$ width

                                                    $=10\;m \times 4\;m$

Width of flowerbed $=50\;cm$

                                $=0.5\;m$

Now, refer the given figure below.

So, the length of the remaining portion $EF$ is,

$EF = AB - (0.5\times2)$

      $=10-1$

      $=9\;m$

Breadth of the remaining region $GH$ is,

$GH=AD-0.5$

       $=4-0.5$

       $=3.5\;m$

Therefore, the area of the remaining portion $=$ area of $EFGH$

                                                                           $=EF \times GH$

                                                                           $=9\times3.5$

                                                                           $=31.5\;m^2$

Hence, the area of the remaining portion is $31.5\;m^2.$