Question

Through a rectangular field of length
50m and breadth 30m, two roads are
constructed which are parallel to the
sides and cut each other at right angles
through the center of the fields
of the width of the road is 5m
find a
Area of the field not covered by roads
b. Cost
Cost of construction of roads, after
finding its area at the rate of $120
per
d.
m²,​

Answer 1

Answer:

Step-by-step explanation:

Length of the road along the length of the field= 90m

Breadth= 3m

Area of the road= l\times bl×b

=90m\times3m=270m^2=90m×3m=270m  

2

 

Similarly, the area of the road parallel to the breadth of the field= l\times bl×b

=60m\times3m=180m^2=60m×3m=180m  

2

 

Area of the common portion= 3m\times3m=9m^23m×3m=9m  

2

 

(i) Area of the two roads

=270m^2+180m^2-9m^2=270m  

2

+180m  

2

−9m  

2

 

=450m^2-9m^2=441m^2=450m  

2

−9m  

2

=441m  

2

 

(ii) Cost of constructing the roads

=Rs\ 110\times441=Rs\ 48,510=Rs 110×441=Rs 48,510