if the area of a quadrilateral efgh is 1134cm^2 and the length of the diagonal eg is 45cm. find the length of (hg+ef).
Answers
Answer:
Given :
Area of trapezium of height 24.2 cm is 605 cm².
Length of one parallel side is 21 cm .
To Find :
Length of other parallel side .
Solution :
\longmapsto\tt{Parallel\:Side=21\:cm\:and\:x\:cm}⟼ParallelSide=21cmandxcm
Using Formula :
\longmapsto\tt\boxed{Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:parallel\:sides)}\times{h}}⟼
AreaofTrapezium=
2
1
×(Sumofparallelsides)×h
Putting Values :
\longmapsto\tt{605=\dfrac{1}{2}\times{(21+x)}\times{24.2}}⟼605=
2
1
×(21+x)×24.2
\longmapsto\tt{605\times{2}=508.2+24.2x}⟼605×2=508.2+24.2x
\longmapsto\tt{1210-508.2=24.2\:x}⟼1210−508.2=24.2x
\longmapsto\tt{701.8=24.2\:x}⟼701.8=24.2x
\longmapsto\tt{x=\dfrac{7018\times{\cancel{{10}}}}{242\times{{\cancel{10}}}}}⟼x=
242×
10
7018×
10
\longmapsto\tt{x=\cancel\dfrac{7018}{242}}⟼x=
242
7018
\longmapsto\tt\bf{x=29\:cm}⟼x=29cm
So , The length of other parallel side of Trapezium is 29 cm