Question

2. The parallel sides of a trapezium are 10 m and 20 m, and the distance between
them is 8 m. What is the area of the trapezius?

I hope it was help you​

Answer 1

Given:

• The parallel sides of a trapezium are 10 m and 20 m
• The distance between the parallels is 8 m (i.e altitude or height)

To find:

• The area of the trapezium

The formula to find the area of the trapezium when two parallel sides and the distance between them is given.

$\boxed{\bf{\frac{1}{2}\times (sum\ of\ parallel\ sides) \times height}}$

So,

Area = $\frac{1}{2} \times (10+20) \times 8$

Area = $30*4$

Area = 120 m sq.

Hence,

• The area of the trapezium is 120 m sq.

Answer 2

${\large{\bold{\rm{\underline{Understanding \; the \; question}}}}}$

★ This question says that the parallel sides of a trapizum are 10 m and 20 m, and the distance between them is 8 m. We have to find the area of the trapizum..!

${\large{\bold{\rm{\underline{Given \; that}}}}}$

${\sf{:\implies Parallel \: sides \: of \: trapizum \: = 10 \: m \: and \: 20 \: m}}$

${\sf{:\implies Distance \: between \: them \: = \: 18 \: metres}}$

${\large{\bold{\rm{\underline{To \; find}}}}}$

${\sf{:\implies Area \: of \: trapizum}}$

${\large{\bold{\rm{\underline{Solution}}}}}$

${\sf{:\implies Area \: of \: trapizum \: 120 \: m^{2}}}$

${\large{\bold{\rm{\underline{Using \; concept}}}}}$

${\sf{:\implies Area \: of \: trapizum \: formula}}$

${\large{\bold{\rm{\underline{Using \; formula}}}}}$

${\sf{:\implies Area \: of \: trapizum \: = \: \dfrac{1}{2} \times Sum \: of \: parallel \: side \times height}}$

${\large{\bold{\rm{\underline{Full \; Solution}}}}}$

${\sf{:\implies Area \: of \: trapizum \: = \: \dfrac{1}{2} \times Sum \: of \: parallel \: side \times height}}$

${\large{\bold{\rm{\underline{Here,}}}}}$

★ Area have to find

★ ½ means half

★ Sum of parallel sides ( 10 + 20 )

★ Height (Distance between them means 8 metres)

${\sf{:\implies Area \: of \: trapizum \: = \: \dfrac{1}{2} \times (10+20) \times 8}}$

${\sf{:\implies Area \: of \: trapizum \: = \: \dfrac{1}{2} \times 30 \times 8}}$

${\sf{:\implies Area \: of \: trapizum \: = \: \dfrac{1}{2} \times 240}}$

${\sf{:\implies Area \: of \: trapizum \: = \: 120 \: m^{2}}}$

${\small{\boxed{\bold{Henceforth, \: area \: of \: trapizum \: = \: 120 \: m^{2}}}}}$