Question

A rectangular field is 112m long and 100m wide. Two roads, each 3m wide are to be constructed at the centre of this field, one is parallel to the length of the field and the other is parallel to the breadth of the field. Find the
A) Area of the roads
B)Area of the part of the field, not covered by the roads.
C) Cost of the constructing the roads at Rs.17 per m2

Answer 1

Step-by-step explanation:

A) the area of the road parallel to the length of the field

= 336m²

the area of the road parallel to the breadth of the field

= 300m²

B) 11200m² - 636m² + 9m²

= 10573m²

c) 627*17

= 10659

Answer 2

Given data : A rectangular field is 112m long and 100m wide. Two roads, each 3m wide are to be constructed at the centre of this field, one is parallel to the length of the field and the other is parallel to the breadth of the field.

Solution : Here, a/c to given data;

➜ Length of field = 112 m

➜ Breadth of field = 100 m

➜ Width of road = 3 m

Now, by formula of are of rectangle;

➜ Area of field = Length * Breadth

➜ Area of field = 112 * 100

➜ Area of field = 11200 m² ----{1}

Here, we know that, First road is parallel to length of field. Hence length of road is equal to length of the field.

➜ Length of road = 112 m

Now,

➜ Area of first road = Length * Width

➜ Area of first road = 112 * 3

➜ Area of first road = 336 m²

Similarly, we know that, Second road is parallel to breadth of field. Hence length of road is equal to breadth of the field.

➜ Length of road = 100 m

Now,

➜ Area of second road = Length * Width

➜ Area of second road = 100 * 3

➜ Area of second road = 300 m²

Now,

➜ Area of roads = Area of first road + Area of second road

➜ Area of roads = 336 + 300

➜ Area of roads = 636 m² ----{2}

Now, subtract eq. {2} from eq. {1} to find out area of the part of the field, not covered by the roads.

➜ Field not covered by the roads = (Area of field) - (Area of roads)

➜ Field not covered by the roads = 11200 - 636

➜ Field not covered by the roads = 10564 m²

According to question we know that,

➜ Rate of constructing a road = Rs 17 per m²

Now,

➜ Cost of constructing both road = Area of both road * Rate of constructing a road

➜ Cost of constructing both road = 636 * 17

➜ Cost of constructing both road = Rs 10812

Answer : Hence, the area of both road is 636 m² and the area of the part of the field, not covered by the roads is 10564 m² and the cost of constructing both road is Rs 10812.