Q2 of 99 Page 269

The base of a parallelogram is twice its height. If the area of shape of parallelogram is 98 sq.cm, then let us calculate the length and height of parallelogram.

Given, The base of a parallelogram is twice its height the area of shape of parallelogram is 98 sq.cm.

Consider length of base = b


And height = h


According to given question, b = 2h ..(i)


Area of parallelogram = base × height


98 = b × h


From eq. (i),


⟹ 98 = 2h ×h


98 = 2h2


h2=


⟹ h2 = 49


⟹ h =


⟹ h = 7cm


and base, b = 2h


⟹ b = 2 × 7


⟹ b = 14cm


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