What is the area of a square field whose diagonal of length 20 m?
Correct answer: C. 200 sq m
- A. 300 sq m
- B. 250 sq m
- C. 200 sq m
- D. 400 sq m
Explanation
For a square, diagonal² = 2 x area. Thus area = (20 m)² ÷ 2 = 400 m² ÷ 2 = 200 m². Option b, 250 m², may be selected by using an incorrect diagonal-area relationship.
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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
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