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3 years ago

The figure above shows a square inscribed in a rectangle.

Mathematics

1 answer:

Debora [2.8K]3 years ago

6 0

Answer:

31 units ²

Step-by-step explanation:

Area of a rectangle = length × width

Length = 8 units

Width = 5 units

Area of a rectangle = length × width

= 8 units × 5 units

= 40 units ²

Area of of the blue square = length ²

Length = 3 units

Area of of the blue square = length ²

= (3 units) ²

= 9 units ²

Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square

= 40 units ² - 9 units ²

= 31 units ²

Area of the orange colored part of the figure = 31 units ²

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Answer:

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Step-by-step explanation:

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Iteru [2.4K]

The simplification form of the provided expression is 6/5x¹⁰ option first is correct.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

$\rm = \sqrt{\dfrac{72x^{16}}{50x^{36}}}$

$\rm = \sqrt{\dfrac{72}{50}} \sqrt{\dfrac{x^{36}}{x^{16}}}$

$\rm = \sqrt{\dfrac{36\times2}{25\times2}} \sqrt{\dfrac{x^{36}}{x^{16}}}$

$\rm ={\dfrac{6x^{8}}{5x^{18}}}$

$\rm ={\dfrac{6}{5x^{10}}}$

Thus, the simplification form of the provided expression is 6/5x¹⁰ option first is correct.

Learn more about the expression here:

brainly.com/question/14083225

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