A saree is 5 m long and 2 m wide. A border of 20 cm wide is printed along its four sides. Find the cost of printing the border at Rs. 3 per square metre.
Answers
Answer:
Rs 7.02
Step-by-step explanation:
Hi,
Let the saree be represented by ABCD as shown in the
attached figure,
Let the border printed on the saree be the area between
the rectangles ABCD and PQRS,
Given the saree is 5m long and 1.125 m wide
Area of the saree = 5*1.25 = 6.25 m²
Given the border is of width 20 cm.
Length of the saree without border
will be PQ = AB = 2*width of border
PQ = AB - 2*20 cm
= 5 - 2*0.2
= 4.6 m
Width of the saree without border
= QR = BC - 2*width of the border
= 1.25 - 2*(20 cm)
= 1.25 - 0.4 m
= 0.85 m
Area of the saree without border
= PQ*RS
= 4.6*0.85
= 3.91 m²
Area of border of saree = Area of saree -
Area of saree without border
= 6.25 - 3.91
= 2.34 m²
Given that cost of printing is Rs 3 per m²,
Since border is of area 2.34 m², cost of printing
2.34 m² will be
= Rs 2.34 * 3
= Rs 7.02
Hope, it helps !