Question

What is the area of the composite figure?


_______ cm2

pls and ty

Answer 1

the length of line in green = 5 cm
the length of line in yellow = 3 cm
the length of line in red = 6 cm
the length of line in white = 16 cm
the total area = 100 + 12 + 12 + 20 + 24 + 96 = 264 cm2

Answer 2

Answer: The area of the composite figure is 264 cm square.

Step-by-step explanation:

In the given figure the are 5 figure are in the composition. 1 square, 3 rectangles and 1 triangle.

The area square is,

`A=side* side`

So, area of part (1).

`A_1=10* 10=100cm^2`

Base of the triangle is,

Base = 20-3-4-5-2=6 cm

Area of triangle is,

`A=(1)/(2) * base* height`

Area of part (2).

`A_2=(1)/(2)* 6* 4=12cm^2`

The area rectangle is,

`A=length * breadth`

Area of part (3).

`A_3=3* 4=12cm^2`

Area of part (4).

`A_4=5* 4=20cm^2`

Area of part (5).

`A_4=20* 6=120cm^2`

Total area is sum of all area of all parts.

`A=A_1+A_2+A_3+A_4+A_5`

`A=100+12+12+20+120=264cm^2`

Therefore the area of the composite figure is 264 cm square.