Question

There is a pentagonal park, Neha and Nidhi divided it in two diferent ways to
find its area.
15 m
15 m
12 m
Neha's figure
Nidhi's figure
Fig. 14.13
Find the area of the park in both ways.



it's urgent....​

Answer 1

Answer:

Step-by-step explanation:

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 meter