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3 years ago

Find the area of the parallelogram in the figure below. Round your final answer to the nearest tenth.

Mathematics

2 answers:

vredina [299]3 years ago

6 0

The answer should be 287.7.

IRINA_888 [86]3 years ago

4 0

Answer:

Area = 546.8

Step-by-step explanation:

We can calculate the area like for a rectangle since if we take the one triangle and pop it on top, the shape becomes a rectangle, so:

Find side of triangle:

A^2 = b^2+c^2 -2acCos(a)

A^2 = 436

A= 20.9

Height : 23.2+20.9

Height: 44.1

Width: 12.4

Area = w * h

Area = 546.8

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Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

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The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

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