The sides of the rectangle in the figure above have lengths shown. What is the area of the rectangle?

The area of rectangle is 21.

Step-by-step explanation:

Area of rectangle = lengthbreadth

length are same ⇒ 2b+1 = 3b-2

⇒ 3b-2b = 1+2

⇒ b =3

⇒ length = 3

breadth are same ⇒ 4a+3 = 5a-4

⇒ 5a-4a = 3+4

⇒ a = 7

⇒ breadth = 7

⇒ Area of rectangle = 37

⇒ Area of rectangle = 21

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.