Question

9. A cornfield is bounded by three straight roads has side lengths 120m, 160m and
200m. Find the area of cornfield.​

Answer 1

Answer:

9600 sq.m

Step-by-step explanation:

We can use heron's formula to find the area of the cornfield.

We have, s = a+b+c/2= 120+160+200/2

                                     =480/2

                                     =240 m

Area of cornfield = √s(s-a)(s-b)(s-c)

                            = √240(240-120)(240-160)(240-200)

                            = √ 240*120*80*40

                            = √120*2*120*40*2*40

                            = 120*40*2 m = 9600 sq.m

Therefore, The area of the cornfield is 9600 sq.m