Question

A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field.


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Answer 1

Answer:

Answer in the attachment

Answer 2

Answer:

DC = AF = 10 m, DA = CF = 13 m (opposite sides of parallelogram)

So, FB = 25 - 10 = 15 m

In ∆CFB, a = 15 m, b = 14 m, c = 13 m.

Semi Perimeter(s) = (a + b + c)/2

s = (15 + 14 + 13)/2

s = 42/2

s = 21 m

By using Heron’s formula,

Area of ∆CFB = √s(s - a)(s - b)(s - c)

= √21(21 - 15)(21 - 14)(21 - 13)

= √21 × 6 × 7 × 8

= 84 m2

Also,