Question

A field is 100 m long and 80 m wide. It has two cross roads at its center of uniform width of 3

m such that one road is parallel to its length while the other is parallel to its breadth. Find the

cost of gravelling the roads as ` 5 per square meter.​

Answer 1

Answer:

2655rs

Step-by-step explanation:

Given,

• Length of the rectangular field,l :- 100m
• Breadth of the rectangular field,b :- 80m
• A cross road running parallel to l and b of field with uniform width :- 3m
• Cost of gravelling the road :- 5 per m²

To find,

• Area of the road
• Cost of road gravelling

To find the area of road we must first find area of field.

Formula of area of a Rectangle :-

• a = l x b

Substitute the values from it :-

• a = 100 x 80
• a = 8000m²-------1

But the area of the field has road in it so,the new measurements are :-

• l = 100 - 3 = 97m
• b = 80 - 3 = 77m

Now substitute the values from the formula :-

• a = 97 x 77
• a = 7469m²--------2

Subtract 2 from 1 :-

• a = 8000 - 7469
• a = 531m²--------3

So (3) is the area of the road. Now the cost of gravelling :-

• C = 5 x 531
• C = 2655rs

Hope it helps