Question

A saree is 5 m long and 1.3 m wide. A border of width 25 cm is printed along its sides. Find the cost of printing the border at Rs 1 per 10 cm².

Answer 1

Let ABCD be the saree and EFGH be the part of saree without border.

Length, AB= 5 m
Breadth, BC = 1.3 m
Width of the border of the saree = 25 cm = 0.25 m

∴ Area of ABCD = 5 m $\times$ 1.3 m = 6.5 m²

Length, GH = {5 -( 0.25 + 0.25} m = 4.5 m
Breadth, FG = {1.3 - 0.25 + 0.25} m = 0.8 m
∴ Area of EFGH = 4.5 m $\times$ .8 m = 3.6 m²

Area of the border = Area of ABCD − Area of EFGH
= 6.5 m² − 3.6 m²
= 2.9 m² = 29000 cm² [since 1 m² = 10000 cm²]
Rate of printing the border = Rs 1 per 10 cm²
∴ Total cost of printing the border = Rs $\left(\frac{1\times 29000}{10}\right)$
= Rs 2900