Question

7) In a trapezium, the parallel sides measure 40 cm and 20 cm. calculate the area of the trapezium if its non-parallel sides are equal having the lengths of 26 cm.

Answer 1

Given :-

• One parallel side of the trapezium = 40 cm

• Other parallel side of the trapezium = 20 cm

• Non-parallel side of the trapezium = 26 cm

To Find :-

• Area of the trapezium.

Solution :-

We know that,

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

Here,

• h = 26 cm

• a = 40 cm

• b =  26 cm

Now,

$:\implies\:\sf{\dfrac{1}{2}\times 26 \times (40+20) }$

$:\implies\:\sf{ 13 \times (40+20) }$

$:\implies\:\sf{ 13 \times 60}$

$:\implies\:\sf{ 780\:cm^2}$

$\therefore\:\underline{\sf{The \:area\: of \:the \:trapezium = 780\: cm^2 }}$

Answer 2

Parallel side of the trapezium = 40 cm

Other parallel side of the trapezium = 20 cm

Non-parallel side of the trapezium = 26 cm

To Find :-

Area of the trapezium.

Solution :-

We know that,

$∙Area \: of \: trapezium=21×h×(a+b)</p><p></p><p></p><p>$