Question

In
rectangular
field of dimension 50 mx30m,
a triangular Park is constructed. If the
dimensions of The Park are 14m,15m and 13m
find The area of remaining Fet field​

Answer 1

Answer:

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=> √s(s-a)(s-b)(s-c)

=> √21(21-14)(21-14)(21-13)

=> √7 X 3 X 7 X2 X 3 X 2 X 2X 2

=> 7 X 3 X 2 X 2

=> 21 X 4

=> 84 m²

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

= 1500 - 84 m²

= 1416m²