Find the area of the polygon. All angles in the figure are right triangles.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

7 0

Answer:

The area is 207 square feet

Step-by-step explanation:

*The area of the rectangle whose dimensions are 21 and 15 is 315 square feet

*The area of the rectangle whose dimensions are 12 and 9 is 108 square feet

*By subtracting the small area from the big area you will get the area of the polygon

*The area of the polygon = 315 - 108 = 207 square feet

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⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by $\large \sf a^{n}.$ The terms of a power are:

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power

✏️ <u>Resolution/Answer</u>:

$\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\$

Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

$\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=$