Question

The length of a rectangular park is $700m$ and its breadth is $300m$. Two crossroads, each of width $10m$, cut the centre of a rectangular park and are parallel to its sides. Find the area of the roads. Also, find the area of the park excluding the area of the crossroads.

Answer 1

Area of the park ABCD$=L\times W=700\times 300=2,10,000m^2$

Area of the road$=$Area of rectangle PQRS$+$Area of rectangle KLMN$-$Area of square WXYZ

$=PQ\times QR+KL\times LM-X{Y}^2$

$=10\times 300+700\times 10-{10}^2=9,900m^2$

Area of the park excluding the area of the cross roads$=$Area of the park$-$Area of the roads$=2,10,000-9,900=2,00,100m^2$.