Question

) In a rectangular field of dimensions 50 m x 30 m, a triangular park is constructed. If the dimensions of the park are 14 m, 15 m and 13 m. Find the area of the remaining field

Answer 1

Answer:

1416 sq. m

Step-by-step explanation:

area of rectangle=50*30=1500

semiperimeter of park(s) =(13+14+15)/2=21

area of park(Herons Formula) =√s(s-a)(s-b)(s-c)

=√21(21-13)(21-14)(21-15)

=√21*8*7*6

=√7*3*2*2*2*7*2*3

=7*3*2*2

=84 sq. m

Area of remaining field=1500-84

=1416