Question

60m. 77m 26m and 25 m . find the area of the field

Answer 1

Hello,

let's look at the figure.

AB=60 m;DF=77 m;AD=25m; BF=26mwe calculate the CF:

CF=DF-CD=77-60=17 m

For ΔBCF,

we calculate the perimeter of triangle

P=BC+BF+CF=25+26+17=68 m

we calculate the  semiperimeter of the triangle:

p=P/2=68/2=34 m

we use the formula of Heron:

At=√p×(p-BC)×(p-BF)×(p-CF);

=√34(34-25)(34-26)(34-17)

=√34×9×8×17=√41616= 204 m²

we calculate the height of triangle:

BE=2At:CF=(2×204):17=408:17=24 m

we calculate the area of Trapezium

A =[(AB+DF)×BE):2=[(60+77)×24]=(137×24):2=3288:2=1644 m²

bye :-)

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