Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is:________?
Correct answer: C. 2x
- A. x/2
- B. x
- C. 2x
- D. 4x
Explanation
The square has area x² square units, while the triangle has area 1/2 × x × h square units. Equating them gives x² = xh/2, so h = 2x units; option b, x units, omits the factor of 1/2 in the triangle-area formula.
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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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