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4 years ago

A window in the shape of a parallelogram has the dimensions given.

Mathematics

2 answers:

mariarad [96]4 years ago

8 0

<h3>Answer: 20 square feet (choice A)</h3>

The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.

The height is DE = 4 ft

Area of a parallelogram is base times height. It's effectively the same formula as a rectangle (any rectangle is a parallelogram, but not the other way around).

So,

area of parallelogram = base * height = 5*4 = 20

note: the base is always perpendicular to the height

another thing to point out: the info AE = 2 ft isn't used at all. It's probably put in there to distract or to make students try to find AD using the pythagorean theorem. Knowing the length of AD will not help find the area of the parallelogram. Though now that I think about it, you could divide this parallelogram into a rectangle and two triangles. Then find the area of each small piece to add them up to get the final answer. I show what I mean in the attached image below. However, it's much easier to use the formula area = base*height.

Phoenix [80]4 years ago

4 0

Answer:

Actually, it's 20.

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that 20 is the correct answer. Have a nice day :)

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Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find

Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = $\frac{y-y1}{x-x1}$

first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

$\frac{6-(-2)}{-1-(-2)}$ = $\frac{8}{1}$ = 8

if we use our formule to calculate the slope of X-Y:

$\frac{8-0}{2-1}$ = $\frac{8}{1}$ = 8

We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

$\frac{6-8}{-1-2}$ = $\frac{-2}{-3}$

if we use our formule to calculate the slope of Z-Y:

$\frac{-2-0}{-2-1}$ = $\frac{-2}{-3}$

We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

$\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = $\sqrt{(-1-(-2))^{2}+(6-(-2))^{2} }$ = $\sqrt{65}$

X-Y = $\sqrt{(2-1)^{2}+(8-0)^{2} }$ = $\sqrt{65}$

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = $\sqrt{(-1-2)^{2}+(6-8)^{2} }$ = $\sqrt{13}$

Z-Y = $\sqrt{(-2-1)^{2}+(-2-0)^{2} }$ = $\sqrt{13}$

So the W-X side have the same lenght to Z-Y side.

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3 years ago

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yawa3891 [41]

Answer:

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3 years ago

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nevsk [136]

Answer:

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Step-by-step explanation:

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4 years ago

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kolezko [41]

Answer:

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Step-by-step explanation:

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3 years ago

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larisa86 [58]

Answer:

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3 years ago