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Which figure encloses more area: a square of side 2 cm ; a rectangle of side 3 cm and 2 cm ;An equilateral triangle of side 4 cm?
- a)rectangle
- b)square
- c)equilateral triangle
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Which figure encloses more area: a square of side 2 cm ; a rectangle o...
Explanation:
To find out which figure encloses more area, we need to calculate the area of each figure.
Square:
Area of square = side x side
Area of square = 2 cm x 2 cm
Area of square = 4 cm²
Rectangle:
Area of rectangle = length x breadth
Area of rectangle = 3 cm x 2 cm
Area of rectangle = 6 cm²
Equilateral Triangle:
Area of equilateral triangle = √3/4 x side²
Area of equilateral triangle = √3/4 x 4²
Area of equilateral triangle = √3/4 x 16
Area of equilateral triangle = 4√3 cm²
Hence, the area of each figure is as follows:
- Square: 4 cm²
- Rectangle: 6 cm²
- Equilateral Triangle: 4√3 cm²
Therefore, the equilateral triangle encloses the most area, with an area of 4√3 cm².
To find out which figure encloses more area, we need to calculate the area of each figure.
Square:
Area of square = side x side
Area of square = 2 cm x 2 cm
Area of square = 4 cm²
Rectangle:
Area of rectangle = length x breadth
Area of rectangle = 3 cm x 2 cm
Area of rectangle = 6 cm²
Equilateral Triangle:
Area of equilateral triangle = √3/4 x side²
Area of equilateral triangle = √3/4 x 4²
Area of equilateral triangle = √3/4 x 16
Area of equilateral triangle = 4√3 cm²
Hence, the area of each figure is as follows:
- Square: 4 cm²
- Rectangle: 6 cm²
- Equilateral Triangle: 4√3 cm²
Therefore, the equilateral triangle encloses the most area, with an area of 4√3 cm².
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Community Answer
Which figure encloses more area: a square of side 2 cm ; a rectangle o...
1. area of the square = (2×2)= 4 cm²
2. area of the rectangle = (3×2)= 6 cm²
3. area of the triangle = (1/2 ×4×4)= 8 cm²
so, option C is the correct answer
2. area of the rectangle = (3×2)= 6 cm²
3. area of the triangle = (1/2 ×4×4)= 8 cm²
so, option C is the correct answer
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Which figure encloses more area: a square of side 2 cm ; a rectangle of side 3 cm and 2 cm ;An equilateral triangle of side 4 cm?a)rectangleb)squarec)equilateral triangled)None of theseCorrect answer is option 'C'. Can you explain this answer?
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