Question 106

The area of a parallelogramis 243 sq.cm. If its altitude is $$\frac{1}{3}$$ of corresponding base, then the length of its base, in centimetres, is

Solution

As per the given question,

Area of the parallelogram$$=243cm^2$$

Let the length of the base$$=a$$

Length of the altitude $$=\dfrac{a}{3}$$

Hence, $$\dfrac{a\times a}{3}=243$$

$$a^2=243\times 3$$

$$a=7\sqrt{21}$$

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