Question

5.There is a
rectangular field beside our house owned by Papia's family. I ne lengin and dun oI this land is 48m and 26m respectively. Papia's family has built their house on tha aid ieaving a gap of 4 metre width on all sides. Let's calculate the area of the region in which they have built their house
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Answer 1

ABCD is the rectangular land, in which

AB = 48 m

BC = 26 m

The dotted lines are 4 m width.

And EFGH is the land on which house is built.

EF = AB – (4 + 4) [One 4 from one side and the other 4 from the other side of the land]

⇒ EF = 48 – 8

⇒ EF = 40 m

And,

FG = BC – (4 + 4)

⇒ FG = 26 – 8

⇒ FG = 18 m

We need to find the area of the region in which the house is built, that is, area of EFGH.

Area of EFGH is given by,

Area of EFGH = EF × FG [∵, Area of rectangle = length × breadth]

⇒ Area of EFGH = 40 × 18

⇒ Area of EFGH = 720 m2

Hence, area of the land on which they have built their house is 720 m2.