Let's draw the parallelogram ABCD in which both pairs of opposite sides are parallel and congruent.
From the vertices A and C draw the altitudes AE and CF respectively to the sides DC and AB of the parallelogram, which separates it into two congruent right triangles AED and CFB, and the rectangular AFCE. So that the area of the parallelogram equals to
2(AAED) + AAFCE
= 2[(DE x AE)/2] + (EC x AE)
= (DE x AE) + (EC x AE)
= (DE + EC)AE
= DC x AE
= base x height
Thus, the area of any parallelogram equals to the product of its base and height.
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length times width equals the area of a rectangle. length times width equals the area of a rectangle. area
For a cuboid it gives its volume.
Perimeter = length + length + width + width Let "w" = width, then "7w" must equal the length (because it's 7 times the width) 7w + 7w + w + w = perimeter 16w = perimeter
Area equals LxW (Length times width)
length times width length times width