Question

8. Find the area of the square (A = length*width) field. Write an expression whicrepresents the area of this rectangle, then simplify the expression.(X+4)

Answer 1

Solution:

Case: Area of a square.

Because All squares are rectangles but not all rectangles are square. We will be assuming that the rectangle in this question is a square.

The area of an (x+4) by (x+4) square is given as:

$\begin{gathered} A=(length\times breadth) \\ A=(x+4)(x+4) \end{gathered}$

Simplifying the expression gives:

$\begin{gathered} (x+4)(x+4) \\ Distributing \\ x(x+4)+4(x+4) \\ x^2+4x+4x+16 \\ x^2+8x+16 \end{gathered}$

Final answers:

Expression : (x+4)(x+4)

Simplifying:

$x^2+8x+16$