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Elis [28]
3 years ago
10

A parallelogram has sides of 8 yards and 10 yards and an angle that measures 60 degrees. What is the area of the parallelogram?

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0
The area should be 80 yards
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Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

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We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box=2b^2+4bh

2b^2+4bh=36

b^2+2bh=18

2bh=18-b^2

h=\frac{18-b^2}{2b}

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V=b^2\times \frac{18-b^2}{2b}

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\frac{dV}{db}=0

\frac{1}{2}(18-3b^2)=0

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b=\sqrt{6}

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\frac{d^2V}{db^2}=-3b

At  b=\sqrt{6}

\frac{d^2V}{db^2}=-3\sqrt{6}

Hence, the volume of box is maximum at b=\sqrt{6}.

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b=h=\sqrt{6} m

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