Question

Please solve this question.

I will follow you, if you get the correct answer.

And I will mark you as brainliest, if you give me full explaination.

Answer 1

The Idea is to find the Area of Rectangular Park including the 1st Rectangle and 2nd Rectangle and then Subtract the Areas of 1st Rectangle and 2nd Rectangle. So, that we may end up with the Area of the Original Park.

After Finding the Area of Original Park, if we subtract the Area of the Playground from the Original Park, We will end up with the Area of the Park that is not occupied by the Playground.

So, Let's Find the Area of Rectangular Park including the 1st Rectangle and 2nd Rectangle.

We know that Area of Rectangle is given by : Length × Breadth

Length of the Rectangular park including 1st Rectangle : (20 + 2) = 22 m

Breadth of the Rectangular park : (10 + 8) = 18 m

Area of the Park including 1st and 2nd Rectangles : (22 × 18) = 396 m²

Area of 1st Rectangle :

Length of 1st Rectangle : 12 m

Breadth of 1st Rectangle : 2 m

Area of 1st Rectangle : (12 × 2) = 24 m²

Area of 2nd Rectangle :

Length of 2nd Rectangle : 8 m

Breadth of 2nd Rectangle : 2 m

Area of 2nd Rectangle : (8 × 2) = 16 m²

Sum of Area's of 1st and 2nd Rectangle's : (24 + 16) = 40 m²

Area of Original Park = Area of Rectangular park including 1st and 2nd Rectangle's - Sum of Area's of 1st and 2nd Rectangle's

⇒ Area of Original Park = (396 - 40) = 356 m²

Area of park not occupied by Playground = Area of Original park - Area of the Rectangular Playground

Given : Area of Playground = 112 m²

⇒ Area of park not occupied by Playground = (356 - 112) = 244 m²

⇒ Option C is the Answer

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