Factorize:216a^4b+512ab^4

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

Answer:
8ab(27a^3 + 64b^3)

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What is the area of this figure? Enter your answer in the box. in² A parallelogram with a right triangle created inside it with

dalvyx [7]

I constructed the figure with the information that you provide, please check the picture.
Since there is a right triangle inside the parallelogram, the parallelogram is a rectangle with $length=20in$ and $width=16in$ ; remember that the area of a rectangle is (length)(width), so we can substitute our values to find its area:
$A=(20in)(16in)$
$A=320in^{2}$
On the other hand, the triangle attached to the top of the parallelogram has $base=20in$ , and $altitude=8in$ ; since the area of a triangle is $\frac{1}{2} (base)(altitude)$ , we can substitute our values to get:
$A= \frac{1}{2} (20in)(8in)$
$A=80in^{2}$

Now the only thing lefts is add the area of the parallelogram and the triangle to get our total area:
$totalA=320in^{2} +80in^{2} =400in x^{2}$

We can conclude that the area of the figure is $400in^{2}$ .