Question

question_answer2) 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? (use3√=1.732)

A) 539.712 cm2

B) 538.721 cm2

C) 540.712 cm2

D) 539.217 cm2

Answer 1

Answer:

attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it?

[A]

[B]

[C]

[D]



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







 [∴ Diagonal of a square = ]

Hence option [D] is the right answer.

Answer 2

Step-by-step explanation:

To do this just find the area!

$length \: of \: square \: will \: be = \frac{32}{ \sqrt{2} } = 16 \sqrt{2} \\ \\ area \: of \: square \: is \: = {l}^{2} = ( {16 \sqrt{2} )}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 256 \times 2 = 512 \: sq.cm$

$now \: area \: of \: equilateral \: triangle \: = \\ \frac{ \sqrt{3} }{4} {s}^{2} \\ \frac{1.73}{4} \times 64 \\ 16 \times 1.73 \\ 27.68 \: sq.cm$

$total \: area = 512 + 27.68 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 539.68 \: sq.cm \\ so \: option \: A) 539.712 cm2 \: is \: correct$