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The breadth of a rectangle is half of its length. Also. the length of the rectangle is equal to the radius of a circle of area 154 sq. ems. What is the ?,clinic-ter of the rectangle
- A20.5 cms.
- B22 cms.
- C42 cms.
- D105 cms.
Answer not set
Discussion 1
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CCommunity
Solution
Let the radius of the circle be $r$.
Area of the circle $A = \pi \times r^{2} = 154$
$r^{2} = \frac{154 \times 7}{22} = 49$
$r=7$
Let the length and breadth of the rectangle be $l$ and $b$ respectively.
Given $l=r=7$
Also $b= \frac{l}{2} =\frac{7}{2} $
Area of the rectangle $ = l \times b = \frac{7\times7}{2}$
Area of Rectangle $=24.5$.
Hence Option E is the correct answer.
Let the radius of the circle be $r$.
Area of the circle $A = \pi \times r^{2} = 154$
$r^{2} = \frac{154 \times 7}{22} = 49$
$r=7$
Let the length and breadth of the rectangle be $l$ and $b$ respectively.
Given $l=r=7$
Also $b= \frac{l}{2} =\frac{7}{2} $
Area of the rectangle $ = l \times b = \frac{7\times7}{2}$
Area of Rectangle $=24.5$.
Hence Option E is the correct answer.