Question

3. Find the area of the trapezium
whose parallel sides are 35.7 cm
and 20.3 cm and the distance
between them is 16cm.
O 448cm2
O 458cm2
O 488cm2
​

Answer 1

~Answer :

• Option (a) 448 cm² is correct ✓
• The area of the trapezium is 448 cm².

Given :

• First parallel side = 35.7 cm
• Second parallel side = 20.3 cm
• Height = 16 cm

To Find :

• The area of the trapezium ?

______________

Solution : Let the are of the trapezium be 'x'.

$~$

${\bf{\underline{\pmb{As~we~know~that~:}}}}$

$~$

• $\boxed{\sf{\pink{\pmb{Area~of~trapezium~=~\dfrac{Sum~of~ parallelogram}{2}~×~height}}}}$

$~$

${\bf{\underline{\pmb{According~ to~ the ~question~:}}}}$

$~$

${\sf:\implies{Area~=~\dfrac{20.3~+~35.7}{2}~×~16}}$

${\sf:\implies{Area~=~\dfrac{56}{\cancel{2}}~×~\cancel{16}}}$

${\sf:\implies{Area~=~56~×~8}}$

• ${\underline{\boxed{\pmb{\sf{\pink{Area~=~448 cm^2}}}}}} \; {\red{\bigstar}}$

$~$

Hence,

• The area of the trapezium is 448 cm².