Parallelograms on the same Base and Between the same Parallels

If the two parallelograms have the same base and are between the same parallel lines then these two parallelograms must have equal area.

Here, ABCD and ABGH are the two parallelograms having common base i.e. AB and between the two parallel lines i.e. AB and HC.

ar (ABCD) = ar (ABGH)

Area of Parallelogram

Area of parallelogram = base × height

Height is the perpendicular on the base.

\mathrm{Base=\dfrac{Area}{Height}}

\mathrm{Height=\dfrac{Area}{Base}}

Example:

Calculate the Area of the parallelogram if the base is 15 ft and the height is 3 ft.

Solution:

Given b = 15 ft

h = 3 ft

Area of parallelogram = b × h

= 15 × 3

= 45 ft2

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