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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.
What else can I help you with?
What is length times width equal?
length times width equals the area of a rectangle. length times width equals the area of a rectangle. area
What does length times height times width equal?
For a cuboid it gives its volume.
What is an expression for the perimeter of a rectangle that has a length which is seven times its width?
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
What does area equal?
Area equals LxW (Length times width)
How do you measure the area?
length times width length times width
What is length times width equal?
length times width equals the area of a rectangle. length times width equals the area of a rectangle. area
Is base times height equal length?
Base times height tims width equal to length
What does length times height times width equal?
For a cuboid it gives its volume.
Does area equal length times width times height?
Area is l (length) x w (width), Volume is measured with l (length) x w (width) x h (height).
What is an expression for the perimeter of a rectangle that has a length which is seven times its width?
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
What does area equal?
Area equals LxW (Length times width)
What is length times width times height equal?
volume The 'Volume' of an object or space
The length of a rectangle is equal to three times its width if the perimeter is equal to 40 feet what is the length of the rectangle?
15 feet.
The length of a rectangle is equal to three times its width if the perimeter is equal to 168 feet what is the length of the rectangle?
63 feet
The length of a rectangle is three times its width If the perimeter of the rectangle is 486in2 what is its area?
the length is equal to 160,083
Is there a relationship between height and mass?
Indeed there is a relationship. Density is equal to the mass divided by the volume (height times width times length). So, height is equal to mass divided by (height times length times width) or H= M/(HLW)
The length of a rectangle is three times its width If the perimeter of the rectangle is 48?
The perimeter of a rectangle is equal to 2*length + 2* width. In this case, we will say 2x + 2y = p = 48. Since the length is equal to 3 times the width, the equation now becomes p = 6*y + 2*y, or just p = 8y. Now since p =48, y must equal 6. And since the length is three times the width (y), the length is 18.
