Question

Prema had a triangulas feild with sides 240cm,200cm,360cm,where grew ragi.In another triangulas feild with two sides 240cm,320cm,adjacent to the previous feild,she wanted to grow carrot and beans as shown in fig . She divided the feild in 2 parts by joining the mid point of the longest side to the opposite vertex and grew carrots in one part and beans in the other part . How much area (in hartares) has been used for Ragi,Carrots and Beans

Answer 1

Step-by-step explanation:

Given Prema had a triangular field with sides 240 cm,200 cm,360 cm, where he grew ragi. In another triangular field with two sides 240 cm,320 cm,400 m adjacent to the previous field. She wanted to grow carrot and beans as shown in fig . She divided the field in 2 parts by joining the mid-point of the longest side to the opposite vertex and grew carrots in one part and beans in the other part . How much area (in hectares) has been used for Ragi, Carrots and Beans

• Given length of triangular field for ragi = 240 m,200 m and 360 m
• Length of triangular field for carrot and beans = 240 m,320 m, 400 m
• We need to find area of the field used for ragi, carrot and beans.
• Using heron,s formula to find area of triangle we get
• Area = √s(s – a)(s -b)(s – c)
• Now a = 200 m, b = 240 m, c = 360 m
• S = a + b + c / 2
•  = 200 + 240 + 360 / 2
•  = 800 / 2
• = 400 m
• Now area of triangle ABC = √400(400 – 200)(400 – 240)(400 – 360) m^2
•                                             = √400 x 200 x 160 x 40 m^2
•                                           = √512000000
•                                        = 22,627.41 m^2
• We know that  
• 10,000 m^2 = 1 hectare
• Therefore 22,627.41 hectare = 22,627.41 / 10,000
•                                               = 2.262 hectares is the area for growing ragi.
• Again let a = 240 m, b = 320 m and c = 400 m
• S = a + b + c / 2
•   = 240 + 320 + 400 / 2 m
•  = 960 / 2 m
• = 480 m
• Now area of triangle will be = √s(s- a) (s – b) (s -c) m^2
•                                                = √480 (480 – 240) (480 – 320) (480 – 400) m^2
•                                               = √480 x 240 x 160 x 80
•                                               = √48 x 24 x 16 x 8 x 10^4
•                                                = √12 x 4 x 12 x 2 x 16 x 8 x 10^4
•                                                 = 12 x 2 x 16 x 10^2 m^2
•                                             = 38,400 m^2
• So 10,000 m^2 = 1 hectare
•   38,400 m^2 = 38,400 / 10,000
•                       = 3.84 hectares.
• Area for growing ragi will be 1/2 the area
•                                                       = 1/2 x 3.84 hectares

                                                        = 1.92 hectares.

Therefore area for growing carrot and beans will be 1.92 hectares.

Reference link will be

https://brainly.in/question/4318903