Question

a) What will be the length of the side of a regular pentagon whose perimeter is 85 cm?
b) Express distributive property of multiplication over addition of whole numbers in
algebraic form using variables x, y and z.
c) Bablu’s age is half of his father’s age. If Bablu is x years old, What will be his age
and his father’s age after 10 years?

Answer 1

Step-by-step explanation:

a)

$pentagon \: = 5sides \: \\ perimeter = 85cm \times 5 \\ = 425 {cm}^{2}$

b) Distributive property of multiplication over addition is

$</p><p></p><p> \: \: Required \: expression \: is \: \: \\ x×(y+z)=(x×y)+(x×z)</p><p></p><p>$

c)

$babul \: age \: = \frac{1}{2} \\ let \: the \: babul \: father \: \: age \: be \: = x \\ his \: father \: age \: after \: 10 \: years \: = \frac{1}{2} \times 10 \\ = x \\ = \frac{1}{2}x \: \times 10x \: \\ x = \frac{1}{2} - \frac{20}{2} = \frac{19}{2} = 9.5 \div 5= 1.9 \\ \frac{19}{10} = 19$

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