Question

A rectangular plot of land has a dimension as \[50 \times 30\]m. There are five flower beds in the plot of the size \[5 \times 3\]m. Find the area of the remaining plot. Also, find the cost of ploughing flower beds at the rate of Rs.30 per sq. m.

Answer 1

Hint: At first, we will find the area of five flower beds. Then by subtracting from the total area we can find the area of the remaining part. And finally multiplying the found answer with the cost we will find the cost of ploughing.

Complete step by step solution:

It is given that the length and breadth of the rectangular plot are \[50m\& 30m\] respectively.
There are five flower beds in the plot of the size \[5 \times 3\]m. so, the length and breadth of each flower bed are \[5m\& 3m\] respectively.
Now, we have to find, the area of the remaining plot. And also, the cost of ploughing flower beds at the rate of Rs.\[30\] per sq. m.
We know that, if \[l\& b\] be the length and breadth of a rectangular plot, then its area is \[lb.\]
So, the area of each flower bed is \[5 \times 3\]sq. m\[ = 15\]sq. m.
So, the area of the five flower beds is by multiplying the area of one flower bed by five that is \[ = 15 \times 5\] sq. m\[ = 75\]sq. m
The area of the rectangular plot is \[50 \times 30\]sq. m\[ = 1500\]sq. m.
The area of the remaining plot is found by subtracting the total area and the area of five flower beds.
Therefore, the area of the remaining part \[ = 1500 - 75\]sq. m \[ = 1425\]sq. m.
Now, the cost of ploughing for each $sq. m$ is Rs. \[30\].
So, the total cost is found by multiplying the total area of the five flower beds by 30.
That is the total cost of ploughing is Rs. \[30 \times 75 = Rs.2250\]

$\therefore$ The area of the remaining part is \[1425\]sq. m. Total cost of ploughing is \[Rs.2250\].

Note:
 We know that, if \[l\& b\] be the length and breadth of a rectangular plot, then its area is \[lb.\]
Since the number of flower beds is five and all are of same breadth and length we will find the area of one plot and multiply it by five.
Here we should be careful in finding the cost of ploughing because we have to multiply the area of flower beds not the area of the remaining plot.