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, \[a=p+i\]
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