Question

The area of trapezium is 840 cm ? and the parallel
sides are 20cm and 22 cm. Find the altitude
of
the trapezium​

Answer 1

Answer:

h=40cm

a Base

20

cm

b Base

22

cm

A Area

840

cm²

Answer 2

Given

• Area = 840 cm²
• Parallel sides = 20cm and 22cm

To Find

• Altitude of the Trapezium?

Explanation:

Let the Altitude of the Trapezium be x

$\maltese \ {\red{\large{\pmb{\boxed{\sf{ Area _{(Trapezium)} = \dfrac{1}{2} \times (Sum \ of \ Parallel \ Sides) \times Height}}}}}}$

Now, We can Find the Altitude of the Trapezium by putting values as:-

$\colon\implies{\sf{ 840 = \dfrac{1}{2} \times (20+22) \times x }} \\ \\ \\ \colon\implies{\sf{ 840 = \dfrac{1}{2} \times (42) \times x }} \\ \\ \\ \colon\implies{\sf{ 840 \times 2 = 42 \times x }} \\ \\ \\ \colon\implies{\sf{ 1680 = 42x }} \\ \\ \\ \colon\implies{\sf{ x = \cancel{ \dfrac{1680}{42} } }} \\ \\ \\ \colon\implies{\purple{\large{\pmb{\boxed{\sf{ x = 40 \ cm }}}}}}$

Hence,

• The Height ( Altitude ) of the Trapezium is 40 cm.