Question

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

Answer 1

Hint: In this question, we will calculate the perimeter of a square. Then we will convert the perimeter into meters because the cost of lace is Rs.10 per meter. From here we can simply calculate the cost of the lace required to put around the cushion cover.

Complete step-by-step answer:
Length of the side of a square cushion = 70 cm
Perimeter of a square cushion = 4 × side = 4 × 70 = 280 cm = $\dfrac{{280}}{{100}} = 2.8$m
Cost of the lace per meter = Rs. 10
Cost of lace required to put around the square cushion = 2.8 × 10 = Rs.28

Thus, the length of a lace required to put around the cushion cover is 2.8 m
Cost of lace required to put around the square cushion is Rs.28

Note: The perimeter of a square is the total distance around the outside of the square. So, 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 two-dimensional space. The area of a square can also be defined as the number of square units it takes to fill the square. Area of a square = $\pi {r^2}$. In these types of questions, it should be clear what is to be found, the area or perimeter. Whenever there is a requirement of length perimeter is to be found, and whenever there is region is asked to paint area is to be found.