The length of a rectangular park is 17m more than the breadth. If its perimeter is 178 m, then the length is (in mts)
The length of a rectangular park is 17m more than the breadth. If its perimeter is 178 m, then the length is (in mts)
A) 53
B) 36
C) 17
D) 49
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Correct option is (A) 53
l = 17+b
\(\Rightarrow\) l - b = 17 _____(1)
perimeter = 2 (l+b) = 178
\(\Rightarrow\) l+b = \(\frac{178}2\) = 89 _____(2)
By adding (1) & (2), we get 2l = 17+89 = 106
\(\Rightarrow\) l = \(\frac{106}2\) = 53 m.
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