Question

In a rectangular field of dimensions 50m * 30 m , a triangle park is contructed .if the the of the park is 14 m , 15 m and 13 m , find the area of the remaining field

Answer 1

Heya mate,
Here is your answer,

rectangular fields length = l = 50m
breadth = b = 30m
area = l×b = 50×30 = 1500m²

let the Triangular parks sides,
a = 14m
b = 15m
c = 13m
area = using heron's formula,
semi perimeter = s = a+b+c/2
= 14+15+13/2
= 42/2
= 21m

$area = \sqrt{s(s - a)(s -b )(s - c)} \\ = \sqrt{21(21 - 14)(21 - 15)(21 - 13)} \\ = \sqrt{21 \times 7 \times 6 \times 8} \\ = \sqrt{7 \times 3 \times 7 \times 2 \times 3 \times 2 \times 2 \times 2 } \\ = 7 \times 3 \times 2 \times 2 \\ = 21 \times 4 \\ = 84m {}^{2}$


Area of the remaining part = area of the rectangular field - area of the triangular park

= 1500 - 84 m²

= 1416m²

I tried to explain it in the simplest method hope this is understandable and

Hope this helps

if you have further doubt or want any help, feel free to ask me. I would like and try to help you.

Thank you

#Sneha
brainly benefactor

Answer 2

First find the area of the rectangular field. 50*30=1500
Then find the area of the triangular Park by herons formula.
Ten after finding te area of te triangle. Subtract the area of the triangle by the rectangular area

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