If the side of a square is increased by 30 %. Its area is increased by:_________?
Correct answer: D. 69 %Primary & Secondary Schooling (K-12)
- A. 9 %
- B. 30 %
- C. 60 %
- D. 69 %Primary & Secondary Schooling (K-12)
Explanation
If the original side is s, the new side is 1.30s. The area changes from s² to (1.30s)² = 1.69s², so the increase is 1.69 − 1 = 0.69 = 69%. Students may choose 60% by adding the 30% side increase twice and forgetting that area depends on the square of the side.
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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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