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
Answers
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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