Question

The length and breadth of a playground are 36 m and 21 m respectively, flagstaffs are required to be fixed all along the boundary at a distance of 3 m apart. The number of flagstaffs is:

Answer 1

Answer:

The number of flagstaffs is 38

Step-by-step explanation:

Let us first consider that 4 flagstaffs will be needed for the vertices of the rectangular playground.

Total flagstaffs for vertices = 4

Now, consider the length of 36m

We will need to put flagstaffs at meter-markings of:

0,3,6,9,12,15,18,21,24,27,30,33 and 36 (total: 13)

However, "0" and "36" represent the vertices, where flagstaffs are already placed.

hence, the number of flagstaffs for the length = 11

For the second length of the playground, you will need another 11.

Total flagstaffs for length = 22

Now, consider the breadth of 21m

We will need to put flagstaffs at meter-markings of:

0,3,6,9,12,15,18 and 21  (total: 8)

However, "0" and "21" represent the vertices, where flagstaffs are already placed.

hence, the number of flagstaffs for the length = 6

For the second length of the playground, you will need another 6.

Total flagstaffs for length = 12

From the above calculations,

Total flagstaffs = 4 + 22 + 12 = 38