In the given figure, ABCD is a square with diagonal 44 cm. How much paper of each shade is needed to make a kite given in the figure?

Answer

Yellow : 484 `cm^(2)`, Red : 242 `cm^(2)`, Green : 373.11 `cm^(2)`

Explanation

Area of the square sheet `= (1)/(2) xx ("diagonal")^(2)=((1)/(2) xx 44 xx 44)cm^(2)=968 cm^(2)`
Area of yellow sheet = area of region I + area of region II
`=(1)/(2) xx "area of square sheet"=((1)/(2)xx 968)cm^(2) = 484 cm^(2)`.
Area of red sheet = area of region IV
`=(1)/(4) xx "area of square sheet"=((1)/(4)xx 968)cm^(2) = 242 cm^(2)`.
Area of green sheet = area of region III + area of region V
`=((1)/(4) xx "area of square sheet")+("area of" Delta AEF)`.