Look at the parallelogram in the figure.
Its area is equal to 70 cm².
Calculate DC.
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Look at the parallelogram in the figure.
Its area is equal to 70 cm².
Calculate DC.
The formula for the area of a parallelogram:
Height * The side to which the height descends.
We replace in the formula all the known data, including the area:
5*DC = 70
We divide by 5:
DC = 70/5 = 14
And that's how we reveal the unknown!
cm
Calculate the area of the parallelogram according to the data in the diagram.
The height is always the perpendicular distance between parallel sides. In this diagram, the line marked '5' shows the height from side AD to side DC. The base is the side the height connects to perpendicularly.
Yes! You could use side AB as the base, but then you'd need the perpendicular height to AB. Since we're given the height to DC (which is 5), it's easier to use DC as the base.
Because we set up the equation . To solve for DC, we need to isolate it by dividing both sides by 5:
That's perfectly normal! Parallelogram side lengths can be decimals. Just make sure to check your arithmetic and verify by multiplying back: height × base should equal the given area.
Yes! A rectangle is a special type of parallelogram where all angles are 90°. The area formula base × height works for all parallelograms, including rectangles and squares.
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