1Use a 15-cm-long string and join its ends. Place it on a centimetre squared paper to makea square, a circle, a triangle and a rectangle. Find the area of each shape. Which shapehas the largest area? Which shape has the smallest area?.:
Answers
Circle has Maximum Area
Step-by-step explanation:
15-cm-long string
Perimeter = 15 cm
Square Side = 15/4 cm
Square Area = (15/4)² = 225/16 = 14.1 cm²
Rectangle can be of Many Sizes (few are mentioned)
L B Area cm²
1 6.5 6.5
2 5.5 11
3 4.5 13.5
4 3.5 14
5 2.5 12.5
6 1.5 9
7 0.5 3.5
Triangle can be of Many Size
Equilateral Triangle
Side = 15/3 = 5 cm
Area = (√3 /4)5² = 10.8 cm²
Circle
2 π R = 15 cm
=> R = 15/2π
Area = πR² = π (15/2π)²
= 225/4π
= 17.9 cm²
Circle has Maximum Area
Rectangle or Triangle can have smallest area depending upon configuration
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