Question

5. A rectangular lawn is 30 m x 20 m. It has two flower beds 1.5 m wide running in the middle of it
one parallel to the length and the other parallel to the breadth. There is a lamp post in the centre of
a cubical cemented platform of edge 1.5 m. There is a 2 m walk-
7 cm
ing path on the outside of the rectangular park. Find the
(a) Area of the flower beds (b) Area of walking path
(c) Area of grassy portion
5 cm
S
R
7 cm​

Answer 1

Answer:

Step-by-step explanation:

A rectangular grassy lawn measuring 40 m by 25 m is to be surrounded externally by a path which is 2 m wide. Calculate the cost of leveling the path at the rate of Rs 8.25 per square meter.

Solution:

RD Sharma Solutions for Class 7 Maths Chapter 20 Mensuration - I (Perimeter and Area of Rectilinear Figures) Image 3

Let PQRS be the rectangular grassy lawn and let length = AB and breadth = BC

Given Length PQ = 40 m and breadth QR = 25 m

Area of lawn PQRS = 40 m x 25 m = 1000 m2

Length AB = (40 + 2 + 2) m = 44 m

Breadth BC = (25 + 2 + 2) m = 29 m

Area of ABCD = 44 m x 29 m = 1276 m2

Now, Area of the path = Area of ABCD – Area of the lawn PQRS

= 1276 m2 – 1000 m2  

= 276 m2