question_answer

The given figure shows a park which has a rectangular playground with an area of 112m2. Find the area of the park that is not occupiea by the playground.

A)  \[200\text{ }{{m}^{2}}\]

B)  \[120\text{ }{{m}^{2}}\]

C)  \[244\text{ }{{m}^{2}}\]

D)  \[112\text{ }{{m}^{2}}\]

Correct Answer: C

Solution :

 : Area of rectangle \[ABCJ=(20\times 10)\,{{m}^{2}}\] \[=200\,{{m}^{2}}\] Area of rectangle CIHG \[=(18\times 8)\,{{m}^{2}}\] \[=144\text{ }{{m}^{2}}\] Area of rectangle DEFG \[=(2\times 6)\,{{m}^{2}}\] \[=12\,{{m}^{2}}\] \[\therefore \] Area of park excluding playground = Total area of park - Area of playground \[=(200+144+12-112)\,{{m}^{2}}\] \[=244\text{ }{{m}^{2}}\]