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The figure above shows a circular garden plot with center O surrounded by a circular sidewalk, also with center O. If the area covered by the garden and sidewalk together is 169p and of the garden alone is 144p, what is the value of t ?

The figure above shows a circular garden plot with center O surrounded by a circular sidewalk, also with center O. If the area covered by the garden and sidewalk together is 169p and of the garden alone is 144p, what is the value of t ?

A) 1

B) 2

C) 3

D 5

E) 12.5

Here thus p stands for pi?
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The figure above shows a circular garden plot with center O surrounded by a circular sidewalk, also with center O. If the area covered by the garden and sidewalk together is 169p and of the garden alone is 144p, what is the value of t ?

Re: The figure above shows a circular garden plot with center O [#permalink]
30 Jan 2018, 12:38

1

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Let, x= radius for inner circle Area covered by the garden and sidewalk is pi*(x+t)^2=169pi or, (x+t)=13 Area covered by the garden alone is pi*x^2=122pi or, x=12 So x+t-x=13-12 or, t=1 So the answer is A