Question

9. Cardboard sheet factory has come out with two kinds of cardboard sheet. A
square
cardboard sheet of side 45 cm costs 15 and a circular cardboard sheet of diameter
50 cm costs 16 (see figure). Which cardboard sheet is a better deal for the factory?
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Answer 1

Answer:

Step-by-step explanation:

Given, side of square cardboard =45 cm

∴Area of square cardboard = (side)² = (45)² = 2025 cm²

Diameter of circular cardboard = 50 cm

∴Radius = 50/2 = 25cm

now, area of circular cardboard = πr²

                                                     = 22/7 × 25 × 25

                                                     = 22/7 × 625

                                                     = 13750/7 = 1964.28 cm²

∴Price of 1cm square cardboard = 2025/15 = ₹135

and price of 1cm circular cardboard = 1964.28/16 = ₹122.7