Question

a
7. Find the area of a trapezium whose
parallel sides are 12 cm and
19cm and the distance between
them is 14cm.
ince​

Answer 1

${\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}$

${\pmb{\sf{\underline{Correct \: Question...}}}}$

⋆ Find the area of a trapezium whose parallel sides are 12 cm and 19 cm and the distance between them is 14 cm.

⋆ This question says that there is a trapezium given whose parallel sides are given as 12 centimetres and 19 centimetres. And also provided that the distance between them(parallel sides) is 14 centimetres. Don't be confused that what is "distance between them" means here, distance between them means the attitude or height. And at last question asked that we have to find out the area of this trapezium. Let's solve this question!

${\pmb{\sf{\underline{Given \: that...}}}}$

⋆ A trapezium is given.

⋆ Parallel sides = 12 cm and 19 cm

⋆ Distance between || sides = 14 cm

${\pmb{\sf{\underline{To \: find...}}}}$

⋆ Area of trapezium

${\pmb{\sf{\underline{Solution...}}}}$

⋆ Area of trapezium = 217 cm sq.

Point to be remember: Don't forget to add unit sq. whenever writing area of any shape, if you didn't write then marks would be deducted! (Here, unit means metres, centimetres etc)

${\pmb{\sf{\underline{Using \: Concept...}}}}$

⋆ Formula to find out the area of trapezium.

${\pmb{\sf{\underline{Using \: Formula...}}}}$

${\small{\underline{\boxed{\sf{\star \: Area \: of \: trapezium \: = \dfrac{1}{2} \times h \times (a+b)}}}}}$

${\pmb{\sf{\underline{Where...}}}}$

⋆ h denotes height

⋆ a and b denotes parallel sides

${\pmb{\sf{\underline{Full \: Solution...}}}}$

~ To solve this question we just have to imply the values according to the using formula that is of area of trapezium. Let us solve this question!

$:\implies \sf Area \: of \: trapezium \: = \dfrac{1}{2} \times h \times (a+b) \\ \\ :\implies \sf Area \: of \: trapezium \: = \dfrac{1}{2} \times 14 \times (12+19) \\ \\ :\implies \sf Area \: of \: trapezium \: = \dfrac{1}{2} \times 14 \times 31 \\ \\ :\implies \sf Area \: of \: trapezium \: = \dfrac{1}{\cancel{{2}}} \times \cancel{14} \times 31 \\ \\ :\implies \sf Area \: of \: trapezium \: = 1 \times 7 \times 31 \\ \\ :\implies \sf Area \: of \: trapezium \: = 7 \times 31 \\ \\ :\implies \sf Area \: of \: trapezium \: = 217 \: cm^{2}$

Henceforth, 217 centimetres sq. is the area of trapezium whose height is 14 cm and parallel sides are 12 cm and 19 cm.

${\pmb{\sf{\underline{Figure...}}}}$

⋆ Figure regards this question is given in attachment 1st. Kindly see from there.

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• Dear web users, you can see the step of cancelling from attachment 2nd. Thanks for understanding!