Question

4. A garden is 120 m long and 85 m wide. It has an inside path of Uniform Width 3.5
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

Answer:

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

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Answer 2

Answer:

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