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dipanwita mitra

· started a discussion

· 1 Months ago

cant understand the explanation (Question:231911.0)

not understandable

Question:

If the breadth, length and perimeter of a rectangle are in geometric progression, what is the ratio of the length to the breadth? 

Options:
A)

2 : 1

B)

3 : 1

C)

5 : 2

D)

None of these 

Solution:

Ans: (d) Given, breadth (B), length (L) and perimeter [2(L + B)] are in GP

Therefore, L/B = 2(L + B)/L = 2 + 2B/L

Let L/B = a

∴    a = 2 + 2/a

a2 = 2a + 2

a2 – 2 a  – 2 = 0

a = (2 +  12   ) /2 =  3    + 1

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