a table cloth of length of 70 cm and width is 40cm has a lace border attached of uniform width measuring 0.03 fing the area of lace border and if the lace is rupees 3.5/m find the total cost of the lace
Answers
Answer:
Lace boarder is 0.03 m or 0.03cm
The area of lace border is 0.0696 m² and if the lace is rupees 3.5/m² then the total cost of the lace is Rs. 7.7.
Step-by-step explanation:
Case 1: Area of the lace border
The dimension of the table cloth:
Length, l = 70 cm = 0.7 m
Breadth, b = 40 cm = 0.4 m
∴ Area of the table cloth = l * b = 0.7 * 0.4 = 0.28 m²
The uniform width of the lace border is 0.03 m.
So, the dimension of the table cloth along with the lace border:
New length = 0.7 + (2*0.03) = 0.7 + 0.06 = 0.76 m
New breadth = 0.4 + (2*0.03) = 0.4 + 0.06 = 0.46 m
∴ The area of the table cloth along with the lace border is,
= 0.76 * 0.46
= 0.3496 m²
Thus,
The area of the lace border is,
= [area of the table cloth along with the lace border] - [Area of the table cloth]
= 0.3496 m² - 0.28 m²
= 0.0696 m²
Case 2: Total cost of the lace
The cost of the lace is given as Rs. 3.5 per meter
We know that to find the required length of the lace for the table cloth we have to calculate the perimeter of the table cloth, therefore,
Perimeter = 2 (l+b) = 2 * (0.7 + 0.4) = 2.2 m ← total required amount of lace for the table cloth
Thus,
The total cost of the lace = Rs. 3.5 * 2.2 m = Rs. 7.7
------------------------------------------------------------------------------------------
Also View:
A table cloth of length 70 cm and width 40cm has a less border of uniform width measuring 3 cm. Find the area of lace border.
https://brainly.in/question/14421778
Komal wants to put a lace border all around a rectangular table cover of 8m long and 5m wide. Find the length if the lace required by Komal.
https://brainly.in/question/2265472
A tablecloth is 1.5 m by 1 m it is border with lace of uniform width of 15 cm find the area of the border
https://brainly.in/question/13061272