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?

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?

Vedantu Content Team · Accepted Answer

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.