Question

There is a rectangular field of size $94m\times 32m$. Three roads each of $2m$ width pass through the field such that two roads are parallel to the breadth of the field and the third is parallel to the length. Calculate : (i) area of the field covered by the three roads (ii) area of the field not covered by the roads.

Answer 1

To get the area covered by the roads we need to keep in mind that the length of the roads will depend on the side of the field they lie parallel to.

For the two roads lying parallel to the width we have: $2\times 2\times 32=128m^2$

For the one lying parallel to the length we have: $2\times 94=188$

The total area of the field is $=94\times 32=3008m^2$

Total area covered by roads $=128+188=316m^2$

The area not covered $=3008-316=2692m^2$.