Question

A square is changed into a rectangle by increasing the length of the square by 5 units to be (x + 5) and increasing the width by 3 units to be (x + 3). Write a simplified expression that represents the area of the resulting rectangle in square units?

Answer 1

Area of the rectangle = x^2 + 8x + 15 square units

Step-by-step explanation:

Length = x + 5
Breadth = x + 3

Area = l x b = (x + 5)(x + 3) = x(x + 3) + 5(x + 3) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15 square units