The length of a rectangular park is 17m more than the breadth. If its

1.	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
Answer» Correct option is A) 53 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.

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

Answer»

Correct option is A) 53

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.