Question

3. A rectangular plot of land is 300 m long and 250 m broad. It has two roads, each
3 metres wide running midway within it one parallel to the length and the other parallel
to the breadth. Find the area of the roads. Also calculate the cost of constructing the
roads at 50 per square metre.
1 hoc two roads each

Answer 1

Answer:

QUESTION

A rectangular plot of land is 300 m long and 250 m broad. It has two roads, each 3 metres wide running midway within it one parallel to the length and the other parallel to the breadth. Find the area of the roads. Also calculate the cost of constructing the roads at 50 per square metre.

1 hoc two roads each

ANSWER

$length = 3 \times 300{m}^{2} = 900 {m}^{2} \\ \\ breadth = 3 \times 250 {m}^{2} = 750 {m}^{2} \\ \\ area \: of \: common \: part \: = 3 \times 3 = 9 {m}^{2} \\ \\ total \: area = 900 {m}^{2} + 750 {m}^{2} - 9 {m}^{2} = 1641 {m}^{2} \\ \\ cost \: is \: = rs \: 50 \times 1641 = rs \: 82050$