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Maria is making a stained glass window in the form of a kite. The width of the window must be 15 in., and she only has enough stained glass to cover 60 in squared. What should the height of the window be?

A4 in.
B6 in.
C8 in.
D12 in.

Maria is making a stained glass window in the form of a kite. The width of the window must be 15 in., and she only has enough stained glass to cover 60 in squar class=

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C. 8 in.



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Answer:

Option C. 8 in

Step-by-step explanation:

Maria is making a stained glass window in the form of a kite.

Width of the window is 15 in.

She has stained glass to cover 60 in² of window.

We have to find the height of window.

As we know Area of the kite = \(\frac{1}{2}(diagonal 1)(diagonal 2)\)

Now by putting the values of kite and length diagonal 1 we can find the length of diagonal 2, which is height of the window.

\(60=\frac{1}{2}(15)(D_{2})\)

\(D_{2}= \frac{2(60)}{15}\)

\(D_{2}=\frac{120}{15}=8in.\)

Option C. 8 in. will be the height of the window.