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Answer 1

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This question is From dav book.Class 8

Consider the given pentagonal park.

Let us find the area of the park which Neha divided.

Neha divided the pentagonal park into two trapezoids.

So, area of the park = Area of trapezoid

=

where 'a' and 'b' are the lengths of the parallel sides of the trapezoid and 'h' is the height

=

= 258 square meters.

Now, let us find the area of the park which Nidhi divided. Nidhi divided the park into one triangle and one rectangle.

So, area of the park = area of triangle + area of rectangle

=

where 'b' is base and 'h' is height of the triangle and 'l' is length and 'w' is width of the rectangle.

=

=

= 258 square meters.

So, the area of the given pentagonal park is 258 square meters,