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alisha [4.7K]
3 years ago
14

What is the formula for this?

Mathematics
1 answer:
zmey [24]3 years ago
8 0
Hey there! 

To find the area of a parallelogram, you multiply the length and the width together, the exact same method you would use to find the area of a rectangle or square.

The reason you would use the same area formula of a rectangle/square to find the area of a parallelogram would be that all rectangles are parallelograms (however, not all parallelograms are rectangles).
**Rectangles are a special kind of parallelogram: they are parallelograms with right angles formed in the corners of the figure.

Another thing to keep in mind is to imagine this: if you were to split the parallelogram from the top left corner straight down, you will get a triangular figure. If you were to move this triangular figure to fill in the right slanted part of the parallelogram, you would have a rectangle.

Now, to solve for the area. Because the formula is A=Base (or the length)*Height (or the width), you should have this expression:
A=20*27

This would simplify to 540 cm squared, which would be your answer.

Hope this helps and have a wonderful day! :)
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AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha
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Answer:

The given quadrilateral is a parallelogram.

Step-by-step explanation:

If a quadrilateral is a parallelogram , then the opposite sides would be equal.

Here we are going to equate the length of  1 pair of opposite sides to find the value of x and use this value of x to verify whether the other pair of opposite sides are equal.

AB = 6x

BC = 3x

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Equate AB and CD,

6x = x + 15

5x = 15

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Now BC and DA should be equal.

BC = 3x = 9

Also DA = 9

As we can see, the other pair of opposite sides are also equal.

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.

Hence , the given quadrilateral is a parallelogram.

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