A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it? (Use√3 = 1.732)

(1) 539.712 cm²

(2) 538.721 em²

(3) 540.712 em²

(4) 539.217 cm²

Solution:

Area of paper=Area of square +Area of equilateral triangle

=1/2 (diagonal)²+ √3/4*(side)²

=1/2*32*32+√3/4*8*8

= 512 + 16 * 1.732

= 512 + 27.712 = 539.712 cm²

(Note: Diagonal of a square =√2 side)

Then the option is (1) 539.712 cm²