Question

6Q) The area of a parallelogram is same as the area of trapezium Workout 4
the value of x..

NOT TO
SCALE

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Answer 1

Answer :

The value of $x$ is 8cm.

Explanation :

Question says that,

Area of a parallelogram is equal to the area of a trapezium.

Or,

→ b • h = ½(a + b) • h

Where,

• (a + b) denotes the parallel sides of the trapezium i.e, 7 and 11cm. and ‘h’ is the height $x$
• And also, ‘b’ and ‘h’ denotes the base and the height of the parallelogram i.e., 12cm and 6cm respectively.

According to the question :

$\implies 12 \times 6 = \dfrac{1}{2} (7 + 11) \times x$

$\implies 72 = \frac{1}{2} \times 18x$

$\implies 72 = 9x$

$\implies \dfrac{72}{9} = x$

$\implies 8= x$

${ \therefore{ \sf{The \: value\: of}}} \: \boldsymbol{x} \sf \: is \: 8cm$

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Fomula used :

• Area of parallelogram : base • height
• Area of trapezium : ½(a + b) • h