Question

What is the area of the figure shown?

Answer 1

`\bold{ANSWER}`

The given figure have two trapezium joined to a same base.

Since, we know

Area of trapezium =
`\boxed{ (1)/(2) * sum \: of \: parallel \: sides * height}`

On placing values,

◼For first trapezium

Area of trapezium =
`\boxed{ (1)/(2) * (30 + 20) * 12}`

Area of trapezium =
`\boxed{ (1)/(2) * 50 * 12}`

Area of trapezium = 25 ×12 =300cm²

◼For second trapezium

Area of trapezium =
`\boxed{ (1)/(2) * (30 + 20) * 12}`

Area of trapezium =
`\boxed{ (1)/(2) * 50 * 12}`

Area of trapezium = 25 ×12 =300cm²

TOTAL AREA = 300 + 300 =600cm²