Question

In Roy's property of length 49m and breadth 27 m, the government is constructing a railway path as shown in the figure given above.

a. How much area is taken up by the government for constructing the railway path?

b. What is the area of the portion of land left with Roy?​

Answer 1

We know that figure shown in picture is ‘Rectangle’

Therefore,we use given length and breadth to find out the area of railway path

We also know that formula for finding out area of rectangle is ‘2(length + Breadth)’

Area of rectangle = 2(length+Breadth)

Area of rectangle = 2(49+27)m

Area of rectangle = (2 ×76)m

Area of rectangle = 152sq.m

Now, we have to find area of left portion of rectangle (land/railway path)

As shown in figure given rectangle is distributed in two equal parts therefore, we divided area of given rectangle by two

Area of left portion = Area of rectangle/2

Area of left portion = 152/2

Area of left portion = 76m

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