The length of a rectangular plot is 4 ½ times that of its breadth. IF the area of the plot is 200 square meters, then what is it's length?
Correct answer: B. 30m
- A. 25m
- B. 30m
- C. 44m
- D. None of these
Explanation
Let the breadth be b metres, so the length is 4.5b metres. The area equation is 4.5b² square metres = 200 square metres, giving b² = 200 ÷ 4.5 square metres = 400/9 square metres and b = 20/3 metres; hence the length is 4.5 × 20/3 metres = 30 metres. The likely mistake is choosing 25 metres by treating the 4.5 ratio as an additive measurement rather than multiplying the sides.
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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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