Multiple choice

A semicircular garden with its diameter as one of the lengths of rectangular house is to be constructed. If the area of the house is 2200 sq. m and its breadth is 11 m, find the radius of the semicircular garden.

  1. 100 m

  2. 200 m

  3. 11 m

  4. 544 m

  5. 50 m

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A Correct answer
Explanation

This is the correct answer. Since a semicircular garden with its diameter as one of the lengths of rectangular house is to be constructed, it means length of the house = diameter of garden Area of the house = 2200 sq. m Breadth of the house is = 11 m Area of the house = length * breadth             2200 sq. m = length * 11 m                 (2200/11) m = length                      200 m = length Length = diameter = 200 m Radius of the semicircular garden is = diameter/2 = (200/2) m                                                         = 100 m

Ans. 100 m