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Question
The height of the parallelogram is one-fourth of its base. If the area of the parallelogram is 676 sq.cm, find the height and the base
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Solution
Let the base of the parallelogram be ‘b’ cm
Given: Height = `1/4` × base
Area of the parallelogram = 676 sq. cm
b × h = 676
b × `1/4`b = 676
b × b = 676 × 4
b × b = 13 × 13 × 4 × 4
b = 13 × 4 cm = 52 cm
Height = `1/4` × 52 cm = 13 cm
Height = 13 cm, Base 52 cm
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