Question

A garden 120m long and 85 m wide .it has an inside path of uniform width 3.5 m all around it. the remaining part of the garden is covered by grass .find the cost of covering the garden by grass at 50 paise per square metre

Answer 1

Solution:-
Let the outer rectangle be ABCD and the inner rectangle be abcd. 
Length and Breadth of the outer rectangle = 120 meter and 85 meter.
The uniform width of the inside path is 3.5 meter,
So, the length of the inner rectangle = 120 - 7 = 113 m 
and the breadth of the inner rectangle = 85 - 7 = 78 m
The area of the inner rectangle = 113 × 78 = 8814 m²
Cost of covering the garden by grass = Rs 0.5 per square meter.
The total cost of covering the garden by grass = 0.5 × 8814
= Rs 4407
Answer. 

Answer 2

L=120

B=85

Width of inner rectangle=3.5

Length of inner rectangle=120-7=113

Breath of inner rectangle=85-7=78

Area=113×78=8814m^2

Cost of covering the garden grass at rs 0.5

So, 0.5×8814=Rs 4407