Question

in a rectangular field of dimensions 60×50m. a triangular park is constructed. if the dimensions are 50m 45m 35m. find the area of the remaining field

Answer 1

I am assuming the question as : In a rectangular field of dimensions 50 m × 30 m, a triangle park is constructed. If the dimensions of the park is 14 m, 15 m and 13 m, find the area of the remaining field.

We can use the following method to solve this question:

Area of the remaining field = Area of the rectangle − Area of the triangle parkNow, Area of the rectangle = 50 m×30 m = 1500 m2To find area of the triangle we will use Heron's formula, Given, a = 14 m, b = 15 m and c = 13 m semi perimeter, s = a + b + c2= 14 + 15 + 132=422= 21 mArea of the triangle = s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−√=21(21−14)(21−15)(21−13)−−−−−−−−−−−−−−−−−−−−−−−√=21×7×6×8−−−−−−−−−−−√=84 m2Hence, Area of the remaining field =1500  − 84 = 1416 m2