Question

a field in the shape of trapezium and it's area is 396m square 2 if the parallel sides are in the ratio 3:5 find the measure of the sides also find the cost of levelling the field at rate of rs9.50 per m square 2​

Answer 1

Step-by-step explanation:

→ DC = AE = 30 m

SO,

→ EB = AB - AE = 90 - 30 = 60m.

Vol 77

now, in right angled ACEB,

→ EB = 60m

→ CB = 100 m (given)

then,

→ EC = √(100²-60²) { By pythagoras

theorem }

→ EC = √(10000 - 3600)

→ EC = √6400

→ EC = 80 m

therefore,

→ Area of trapezium = (1/2) * sum of parallel side* height = (1/2) * (30 +90) *

80 (1/2)* 120 * 80 = 60 * 80 = 4800 m².

=

hence,

→ 1 m² cost = Rs.4

→ 4800 m² cost = 4800 * 4 = Rs.19200