Question

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

Answer 1

Answer:

$\alpha rea \: of \: trapezium \: = \frac{1}{2} \times sum \: of \: parallel \: lines \: \times \: height \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times (10 + 20) \: \times 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times 30 \times 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 120m {}^{2}$

Step-by-step explanation:

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Answer 2

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,

• $\mathbb{The \;area \;of \;the \;trapezium\; is \;120 \;m\; sq.}$