Which of the following equations is an example of inverse variation between

Mathematics

1 answer:

Simora [160]3 years ago

4 0

Step-by-step explanation:

If x and y are inverse variations, then xy = constant.

$xy=k\to y=\dfrac{k}{x}$

If k = 12. Then the answer is

$y=\dfrac{12}{x}$

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Let's find the perimeter first by adding all the side lengths together. There are two missing side lengths, which we can find by taking the side opposite them and subtract the side behind the missing side from them.

I've attached a diagram showing how to find the side lengths.

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To find the area we can divide this figure into 2 rectangles. On the second attached diagram, I've split the figure into two and labeled the length and width of each rectangle.

Area of a rectangle = length * width

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Area of yellow labeled rectangle = 8 cm * 4 cm = 32 cm²

Add the two areas together: 8 + 32 = 40

The area of the figure is 40 cm².