question_answer

Translate each of the following statements into an equation.

(a) The perimeter (p) of an equilateral triangle is three times of its side (a).

(b) The diameter (d) of a circle is twice its radius (r).

(c) The selling price (s) of an item is equal to the sum of the cost price (c) of an item and the profit (p) earned.

(d) Amount (a) is equal to the sum of principal (p) and interest (i).

Answer:

(a) Given,

Perimeter of an equilateral triangle \[=p\]

Side of an equilateral triangle \[=a\] then, three times of side \[(a)=3a\]then,

according to the question, \[p=3a\]

(b) Given,

Diameter of a circle \[=d\]

Radius of a circle \[=r\]

Twice of radius, \[r=2r\]

Then, according to the question,

\[d=2r\]

(c) Given, selling price of an item

= Rs. S cost price of an item

= Rs. c

Profit = Rs. p

Then, according to question, \[s=c+p\]

(d) Given, amount = Rs. a principal = Rs. p interest =Rs. i Then, according to the question,  \[a=p+i\]