If the perimeter of the parallelogram ABCD is 20 cm and the length of AB = 6 cm, then what is the length of AD?

4 cm

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5 cm

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6 cm

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7 cm

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Solution

The correct option is A 4 cm
Perimeter of a parallelogram
= AB + AD + DC + BC
= AB + AB + AD + AD
(AB = DC and AD = BC; Opposite sides of a parallelogram are equal)
= 2AB + 2AD
Since, the perimeter of the parralelogram is 20 cm
2 AB + 2 AD = 20 cm
12 cm + 2 AD = 20 cm
2 AD = 8 cm
AD = 4 cm

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The base of an isosceles triangle is 6 cm and its perimeter is 16 cm. Length of each of the equal sides is

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