Math, asked by rk7679777, 3 months ago

the parallel sides of a trapezium are 5m and 8m and the perpendicular distance between them is 10m find the area of the trapezium

Answers

Answered by vanshikakripalani2
3

Answer:

65m

Step-by-step explanation:

Area=1/2*h(a+b)

=1/2*10(5+8)

=1/2*10*13

=65m

Answered by Anonymous
3

AnswEr-:

\sf{\bf{Given-:}}\\

  • The parallel sides of a trapezium are 5m and 8m

  • Height or perpendicular distance between them is 10m.

\sf{\bf{To\:Find-:}}\\

  • Area of Trapezium.

\mathrm {\bf{ \dag{Solution \:of\:Question \:-:}}}\\

\underbrace {\mathrm {\bf{ Understanding \:the\:Concept \;-:}}}\\

  • We have to find the Area of Trapezium When Parallel Sides and Perpendicular Distance Between them [Height] is Given .

  • Now by Putting known Values [ Parallel Sides and Perpendicular Distance Between them (Height) ] in the Formula for Area of Trapezium.

  • By This we can get the Area of Trapezium.

__________________________________________________

\mathrm {\bf{ \dag{Finding \:Area\:of\:Trapezium \:-:}}}\\

As , We know that ,

  • \underline{\boxed{\star{\sf{\purple{Area\:of \:Trapezium \:-:\frac {1}{2} \times Height \times ( a + b) \:or\:sum\:of\:Parallel\:Sides\:sq.units}}}}}\\\\

\sf{\bf{Here-:}}\\

  • The sum parallel sides of a trapezium or ( a +b) are (5+8) m

  • Height or perpendicular distance between them is 10m.

Now By Putting known Values in Formula for Area of Trapezium-:

  • \qquad \quad \qquad \quad \longmapsto {\mathrm { Area \: = \dfrac{1}{2} \times 10 \times  ( 5 + 8) }}\\

  • \qquad \quad \qquad \quad \longmapsto {\mathrm { Area \: = \dfrac{1}{2} \times 10 \times  13 }}\\

  • \qquad \quad \qquad \quad \longmapsto {\mathrm { Area \: = \dfrac{1}{\cancel {2}} \times \cancel {10} \times  13 }}\\

  • \qquad \quad \qquad \quad \longmapsto {\mathrm { Area \: = 5  \times  13 }}\\

  • \qquad \quad \qquad \quad \underline {\boxed{\pink{\mathrm { Area \: = 65 \:m^{2} }}}}\\

Hence ,

  • \underline{\star {\mathrm{\red {  Area\:of\:Trapezium \:is\: = 65\:m^{2}  }}}}\\

________________________________________________________

\large { \boxed {\mathrm |\:\:{\underline {More \:To\:Know\:-:}}\:\:|}}

  • Area of Rectangle = Length × Breadth sq.units

  • Area of Square = Side × Side sq.units

  • Area of Triangle = ½ × Base × Height sq.units

  • Area of Trapezium = ½ × Height × ( a +b ) or Sum of Parallel sides sq.units

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