Question

How much laces will be needed to put around a square cushion of side 70 cm? What is the cost of the lace required if the lace costs Rs. \[10\] per meter?

Answer 1

Hint: Here in this question, we need to calculate the perimeter of a square. We have to convert the perimeter of a square cushion into meters because the cost of lace is Rs. \[10\] per meter.
Since the perimeter of a square is the total distance around the outside of the square, we can say that the sum of all the four sides of a square is equal to the perimeter of the square.

Formula to be used:
     The formula to calculate the perimeter of a square is as follows.
\[The{\text{ }}perimeter{\text{ }}of{\text{ }}a{\text{ }}square = 4 \times side\]

Complete step by step answer:
It is given that the length of the side of a square cushion\[ = 70cm\]
Using the formula, we get the result.
\[The{\text{ }}perimeter{\text{ }}of{\text{ }}a{\text{ }}square = 4 \times side\]
And the perimeter of a square cushion \[ = 4 \times 70\]\[ = 280cm\]
Here, we convert centimeter to meter\[ = \dfrac{{280}}{{100}}\]\[ = 2.8m\]
Also, it is given that the cost per meter is Rs. 10.
Hence, the cost of the lace required to put around the square cushion \[ = 2.8 \times 10\]
                                                                                                                               \[ = Rs.28\]
Therefore, the length of a lace required to put around the cushion cover is \[2.8m\]
Hence the cost of the lace required to put around the square cushion is \[Rs.28.\]

Note: Since the perimeter of a square is the total distance around the outside of the square, we can say that the sum of all the four sides of a square is equal to the perimeter of the square.
The area of a square is the region that the square covers in a dimensional space and the area of a square can also be defined as the number of square units it takes to fill the squares and in this way, we can found the length of a lace required to put around the cushion cover and the cost of the lace required to put around the square cushion.