Question

The area of a trapezium with equal non-parallel sides is 228 cm2
. If the lengths of parallel sides are 10 cm
and 28 cm, then find the length of the non-parallel sides and perimeter of the trapezium. .

please solver this question fast please

Answer 1

Construction: draw AE parallel to FD &BD parallel to FC

given-area of Trapezium is 228cm square

the length of parallels side are 10 c(AB=ED)and 28 cm(FC)

Find-length of Trapezium(AF), perimeter of Trapezium.

Solution--

area of Trapezium=228

10+28) /2×h=228

h=228×2) /38

( AE) h=12cm

In triangle AEF,

AF square =12×12+9×9

AF =√12 square+9 square

AF = √144+ 81

AF =√225

AF=15cm

In the triangle BCD,

BC square= 12 square+9 square

BC =√12square + 9square

BC = √144+81

BC=15cm

then

perimeter of Trapezium= AB + AF +FC+ BC

=10+15+28+15

=38+30=68cm

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