Answer:
Step-by-step explanation:
The formulas for the areas of a rectangle and a parallelogram are actually the same; both involve length and width.
It may be easier to understand this if you draw a rectangle of width w with a drawing of a parallelogram of width underneath. The parallelogram's ends appear slanted; they are neither vertical nor horizontal. However, so long as you measure the length of the rectangle horizontally, all measurements are equal to each other as well as equal to the length of the rectangle.
Hence the calculated areas will be one and the same.
Area formula of a rectangle to find the area formula of parallelogram, the length of the rectangle should be used as the height of the parallelogram.
Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, [tex]a[/tex] is the length rectangle and [tex]b[/tex] is the width of the rectangle.
Given information-
The area formula of parallelogram has to find using the area formula of rectangle.
Parallelogram is a closed shaped quadrilateral polygon in which opposite sides is equal and parallel and opposite angles are equal.
The shape of the parallelogram is attached below.
The area of the rectangle is the base time height. It can be given as,
[tex]A_r=l\times h[/tex]
In case of a parallelogram the height of the parallelogram is not equal to the side of it.
The area of the parallelogram is still given as the area of rectangle which is base time height, with new height.
Thus for the attached figure of parallelogram the area of it can be given as,
[tex]A_p=l\times h[/tex]
Hence, The area formula of a rectangle to find the area formula of a parallelogram, the length of the rectangle should be used as the height of the parallelogram.
Learn more about the area of rectangle here;
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