# 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.