Question

To crossroads each of width 10cm cut at right angles through the centre of a rectangular Park of length 700 M and breadth 300m and parallel to its sides find the area of the roads also find the area of the park excluding crossroads give the answer in hectares

Answer 1

Answer:

Area of roads = 0.009999 hectares (9.999*10^-3 hectares)

Area of park = 20.990001 hectares

Step-by-step explanation:

As demonstrated in the diagram attached;

First, convert the width of the roads to metres:

10/100 = 0.1m

Then subtract the width of the roads from the length and breadth of the park;

Length: 700 - 0.1 = 699.9m

Breath: 300 - 0.1 = 299.9m

Since the cross roads cut at right angles through the centre of the park, divide the dimensions of the park not covered by the roads (above) by two;

Length: 699.9/2 = 349.95m

Breadth: 299.9/2 = 149.95m

The above represent the dimensions on both sides of the roads, both on the length and breadth of the park.

Having found these dimensions, the calculation to find the area of the roads and the park excluding crossroads is as follows in the photo attached:

Answer 2

Answer:

Area of roads = 0.009999 hectares (9.999*10^-3 hectares)

Area of park = 20.990001 hectares

Step-by-step explanation:

As demonstrated in the diagram attached;

First, convert the width of the roads to metres:

10/100 = 0.1m

Then subtract the width of the roads from the length and breadth of the park;

Length: 700 - 0.1 = 699.9m

Breath: 300 - 0.1 = 299.9m

Since the cross roads cut at right angles through the centre of the park, divide the dimensions of the park not covered by the roads (above) by two;

Length: 699.9/2 = 349.95m

Breadth: 299.9/2 = 149.95m

The above represent the dimensions on both sides of the roads, both on the length and breadth of the park.

Having found these dimensions, the calculation to find the area of the roads and the park excluding crossroads is as follows in the photo attached: