Beena makes a patchwork as shown in figure.She cut outs these pieces (triangle, square,and trapezium) from square cloth of 3m What is area of cloth remaining?
Answers
Given : Beena makes a patchwork as shown in figure. She cut outs these pieces (triangle, square,and trapezium) from square cloth of 3m
To find : area of cloth remaining
Solution:
Area of cloth = 3 * 3 = 9 m²
Area of square = 14 * 14 = 196 cm²
Triangle height = √10² - 8² = √36 = 6 cm
Triangle base = 2 * 8 = 16 cm
Area of triangle = (1/2) * 16 * 6 = 48 cm²
Trapezium height = 21 - 14 - 6 = 1 cm
Trapezium base = 23 cm
Trapezium top = 20 cm
Area of trapezium = (1/2) (23 + 20) * 1 = 21.5 cm
Total area cut = 196 + 48 + 21.5 = 265.5 cm²
1 cm² = 0.0001 m²
Total area cut = 0.0265.5 m²
Area of cloth remaining = area of cloth - area of cut
9 - 0.02655 m²
= 8.97345 m²
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