Question

Find the area of the following shape

Answer 1

Answer: Area of the given shape is 116
`cm^(2)`

Step-by-step explanation: The area of the given shape can be partitioned into two.

Total area = Area of A [length=2
`√(2)`,breadth=2
`√(2)`]+ Area of B[length=9
`√(2)`,breadth=6
`√(2)`]

Area of a square=
`a^(2)`

a=measurement of a side

Area of A =
`2√(2) ^(2)`=8
`cm^(2)`

Area of a rectangle=Area of B =Length . Breadth

Breadth =8
`√(2)`-2
`√(2)`=6
`√(2)`

Length=9
`√(2)`

Area of B=9
`√(2)`. 6
`√(2)`=108

Total area=108+8=116
`cm^(2)`