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The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

Correct answer: A. 140

  • A. 140
  • B. 156
  • C. 175
  • D. 214

Explanation

The square's side is √1225 sq.units = 35 units, so the circle's radius is 35 units. The rectangle's length is 2/5 x 35 units = 14 units, and its area is 14 units x 10 units = 140 sq.units. Option c is a likely mistake from using the radius as the rectangle's length.

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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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