The length and breadth of a rectangle are 48 cm and 21 cm respectively
The length and breadth of a rectangle are 48 cm and 21 cm respectively. The side of a square is two-third the length of the rectangle. The sum of their areas (in square cm) is
(a) 2032
(b) 2123
(c) 2028
(d) 2030
Answer: (a) 2032
Solution:-
The length and breadth of a rectangular = 48 cm and 21 cm
Then, the area of the rectangle = 48 x 21
= 1008 cm^2
The side of a square is two-third of length of the rectangle
So, the side of rectangle = 48 x 2/3
= 32 cm
Then, the area of the rectangle = 32 x 32
= 1024 cm^222
The sim of the area of rectangle and square = 1008 + 1024
= 2032 cm^2
Hence, the correct answer is option (a) 2032.