Question

A rectangular plot 200m x 150m has three 3m wide roads along the length of the plot on either side and one in the middle. On either side of the middle road there are shops.
A) Find the area covered by the shops.
B) Also, find the cost of reconstructing the roads at the rate of Rs.225 per m2

Answer 1

Solution : Let, the length of plot be 200 m and the breadth of plot be 150 m. {a/c to question}

Now, by formula of area of rectangle;

➜ Area of the plot = Length * Breadth

➜ Area of the plot = 200 * 150

➜ Area of the plot = 30000 m²

Now, a/c to question,

➜ Length of road = 200 m

➜ Breadth of road = 3 m

Now,

➜ Area of road = Length * Breadth

➜ Area of road = 200 * 3

➜ Area of road = 600 m²

We know that, a rectangular plot has three roads

➜ Area of three road = 3 * Area of a road

➜ Area of three road = 3 * 600

➜ Area of three road = 1800 m²

Now,

➜ Area of covered by the shops = (Area of the plot) - (Area of three road)

➜ Area of covered by the shops = 30000 - 1800

➜ Area of covered by the shops = 28200 m²

Now, to find out cost of reconstructing three road

➜ Cost of reconstructing = (Area of three road) * (rate of reconstructing)

➜ Cost of reconstructing = 1800 * 225

➜ Cost of reconstructing = Rs 405000

Answer : Hence, the area covered by the shops is 28200 m² and the cost of reconstructing the roads is Rs 405000.

Answer 2

Answer:

Here

according to the question length and breadth of the plot is 200 and 150 m respectively.

Step-by-step explanation:

area of rectangle is L*B

200*150 = 30000m²

Area of one road is its length into breadth

the length of the road is-200m

breadth is-3m

so are is L*B

200*3= 600m²

there are three such roads - 600*3

1800m²- area of road

cost of reconstructing - 1800*225

rupees 4,05,000