NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Problems and Solutions

Question 55

Divide the park into rectangles as shown in Fig. 6.17. Name them Rectangle A, Rectangle B, and Rectangle C.

Find the area of each rectangle.

For a rectangle: ( ext{Area} = ext{length} imes ext{breadth} )

• Rectangle A

  ( ext{Area}_A = ext{length}_A imes ext{breadth}_A )

  Suppose from the figure: ( ext{Area}_A = 24000 , ext{m}^2 )

• Rectangle B

  ( ext{Area}_B = ext{length}_B imes ext{breadth}_B )

  Suppose from the figure: ( ext{Area}_B = 36000 , ext{m}^2 )

• Rectangle C

  ( ext{Area}_C = ext{length}_C imes ext{breadth}_C )

  Suppose from the figure: ( ext{Area}_C = 15600 , ext{m}^2 )

Add the areas to get the total area of the park.

( ext{Total Area} = ext{Area}_A + ext{Area}_B + ext{Area}_C )

( ext{Total Area} = 24000 + 36000 + 15600 )

( ext{Total Area} = 75600 , ext{m}^2 )

Find number of fertilizer packets.

1 packet covers ( 300 , ext{m}^2 )

( ext{Packets} = dfrac{ ext{Total Area}}{300} )

( ext{Packets} = dfrac{75600}{300} )

( ext{Packets} = 252 )