Question

The length of a square room is 16m. The wall of the room should be tied with coloured bunting 4 times. Find the total length of the buntings required.

Answer 1

Hint: In this question, we will use the formula of the perimeter of the square which is $4a$, where a is the length of the side of the square. Then, multiply the perimeter by 4 as the wall is tied four times.

Complete step-by-step answer:
The perimeter of the square is given by the formula $4a$ where a is the side of the square. Here, we are given that the side of the square room is 16m. Therefore to find the perimeter of the square room, substitute 16 for an in the equation $4a$.
Perimeter of the square room = $4\left( {16} \right)$
$4\left( {16} \right) = 64{\text{ m}}$
The coloured buntings will be tied along the walls of the square room.
Therefore the length of bunting required to tie the walls of the room will be equal to the perimeter of the square room.
Since we are given that the coloured bunting has to tie the square room 4 times, the total length of the buntings required will be four times the perimeter of the square room.
Therefore total length of coloured buntings required is $4\left( {64} \right) = 256{\text{ m}}$
Hence, the total length of the buntings required given the length of a square room is 16m and the wall of the room should be tied with coloured bunting 4 times is 256 m.

Note: Students must know the basic formulas of perimeter and area for these types of questions. Also, mention the unit of the perimeter, which is the metre in this case. Here we have multiplied the answer with 4 as it’s given, the room tied with coloured bunting 4 times. if it would have said bunting 6 times then we would have multiplied it by 6.