The dimensions of a rectangle are 51 m and 49 m respectively while side of a square is 50 m. Which of the following statements is correct ?

Solution(By Examveda Team)

(A) Diagonal of the rectangle :
$$\eqalign{ & = \sqrt {{{\left( {51} \right)}^2} + {{\left( {49} \right)}^2}} m \cr & = \sqrt {2601 + 2401} \,m \cr & = \sqrt {5002} \,m \cr} $$
Diagonal of the square :
$$\eqalign{ & = 50\sqrt 2 \,m \cr & = \sqrt {5000} \,m \cr} $$

(B) Diagonal of a square intersect at right angles but those of a rectangle do not.

(C) Perimeter of rectangle :
= 2(51 + 49) m
= 200 m
Perimeter of square :
= (4 × 50) m
= 200 m

(D) Area of rectangle :
= (50 × 50) m²
= 2500 m²