Area of rectangle is 100 cm^2 , length is 20 cm then its breadth = ……………….. cm.

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 (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) 7

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 (D) 7 Let radius of cylinder be r cm. \(\therefore\) Circumference of base of cylinder = Length of rectangle \(\therefore\) \(2\pi r=44\) \(\Rightarrow\) \(r=\frac{44}{2\pi}=\frac{44\times7}{2\times22}\) = 7 \(\therefore\) Radius of the cylinder is 7 cm.

Correct option is  A) 53

Correct option is  D) 5