Question

1. A garden is 120 m long and 85 m board. A path 3.5 m wide is constructed all around inside the garden.
Find the area of the path. Also find the remaining area of the garden.​

Answer 1

Step-by-step explanation:

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 2

Step-by-step explanation:

Let the outer rectangle be ABCD and the inner rectangle be abcd.

Length of the outer rectangle = 120 meter

and breadth = 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

Now, The area of outer rectangle = 120 × 85 = 10200 m²

So, remaining area = area of outer rectangle - area of inner rectangle

remaining area = 10200 - 8814 = 1386 m²

hope you understand it

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