Q5 of 38 Page 5

There is a rectangular field beside our house owned by Papia’s family. The length and breadth of this land is 48 m and 26 m respectively. Papia’s family has built their house on that land leaving a gap of 4-meter width on all sides. Let’s calculate the area of the region in which they have built their house.

We have


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.


More from this chapter

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3

There is a path of 3m width all around outside the square shaped park of Ajanta Housing Complex. The perimeter of the park including the path is 484 m. Let’s calculate the area of the path.

 4

The length and breadth of Mihir’s rectangular garden is 50m. and 30m. respectively. There is a road in the middle of the garden of width 4m. parallel to the length of the garden. This road divides the garden into two rectangular region of equal area. Let’s draw a picture and find out the area of the road and note it down.

A. If the road of width 4 m passing through the middle of the garden is parallel to the breadth and this road divides the garden into two equal parts, then let’s draw a picture and find the area of the road and note it down.


B. If there are two roads of width 4m parallel to the length and breadth of Mihir’s garden passing through the middle and divides the garden into four equal parts, then let’s draw a picture to find the area of the road and note it down.


 6

My brother Dipu draws a picture on the entire rectangular sheet of paper whose length is 15 cm and breadth is 8 cm.

A. Let’s calculate the change of area of the paper if the length is twice and the breadth is same.


B. Let’s calculate the change of area of the paper if the breadth is twice and the length is same.


C. Let’s find how many times the area of the paper will be to the area calculated in case (a), if the length and breadth be twice.


D. Let’s calculate the change of area of the paper if length and breadth be half.


 7

I cut three square shaped paper and notice the changes in areas

If - a. Length becomes double.


b. Length becomes half.