Mathematics: Find the base and height of a rectangle with vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1). the height is units. the base is units.

Find the base and height of a rectangle with vertices

anonymous1813

14.01.2022

The base is 2 units and the height is 6 units.

Step-by-step explanation:

You can plot the points (-4, 7), (-2, 7), (-2, 1), and (-4, 1) and obtain the rectangle shown in the figure attached.

As you can see in the figure, the distance between the points of the base is:

$d=\sqrt{(-2-(-4))^2+(1-1)^2}\\d=2$

Then the lenght of the base is 2 units

The distance between the points of the height is:

$d=\sqrt{(-2-(-2))^2+(1-7)^2}\\d=6$

Then the height is 6 units

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sidallen05

14.01.2022

ANSWER

The height is 6 units.

The base is 2 units.

EXPLANATION

The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

To find the height of the rectangle, we use the points (-2,7) and (-2,1) or

(-4,7) and (-4,1) because they form the vertical side of the rectangle.

The height is

|7-1|=6 units

To find the base, use the points (-2,7) and (-4,7) or (-2,1) and (-4,1).

The base is

|-2--4|=2 units

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claplo9141

30.12.2022

-2

Step-by-step explanation:

Because the x is being multiplied by 2 you would do the same for the y and multiply it by 2 to get -2

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