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
Answered Feb 05, 2023
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.
let length of the rectangle be L and breadth be B so by the problem perimeter 2(IL+B)=34 => L+B =17 .......(1) => L2+B2+2LB=289 ..........(2) and the square of the diagonal = L2+B2=132 =169 .....(.3) By...
Correct option is (A) 8 + 5√2 Area of park \(=(3+\sqrt{2})(2+\sqrt{2})\) \(=6+3\sqrt{2}+2\sqrt{2}+2\) = \(8+5\sqrt{2}\)
Correct option is (C) 3 Area of rectangular sheet \(=(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})\) \(=(\sqrt{5})^2-(\sqrt{2})^2\) = 5 - 2 = 3 square units
Correct option is A) 8 + 5√2
Correct option is (C) 48 cm2 \(\therefore\) Curved surface area of formed cylinder = Area of rectangular sheet = 12 \(\times\) 4 \(=48\,cm^2\)
Correct option is (C) 775 Area = \(41\frac{2}{3}\) \(\times\) \(18\frac{3}{5}\) \(=\frac{41\times3+2}3\times\frac{18\times5+3}5\) \(=\frac{123+2}3\times\frac{90+3}5\) \(=\frac{125}3\times\frac{93}5\) \(=25\times31\) \(=775\,m^2.\)
Correct option is D) 5
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