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In figure (1) given below, area of parallelogram ABCD is 29 cm2. Calculate the height of parallelogram ABEF if AB = 5.8 cm.

In figure (1) given below, area of parallelogram ABCD is 29 cm^2. Calculate the height of parallelogram ABEF if AB = 5.8 cm. Theorems on Area, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Theorems on Area

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Answer

||gm ABCD and ||gm ABEF are on same base (AB) and between the same parallel lines AB and DE, so their areas are equal.

Area of ||gm ABEF = Area of ||gm ABCD = 29 cm2.

Area of ||gm ABEF = base × height

⇒ 29 = AB × height

⇒ 29 = 5.8 × height

⇒ Height = 295.8\dfrac{29}{5.8}

= 5 cm.

The height of parallelogram ABEF is 5 cm.

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