Question

a window is in the shape of a rectangle with dimensions as shown.
match each question to the expression that answers it. some expressions will not be used.
which expression represents the area of the window?
which expression represents the perimeter of the window?

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\), where \(l=x^{2}+3x - 4\) and \(w=x + 3\).

$$
LATEXBLOCK0
$$

Step2: Calculate the perimeter of the rectangle

The formula for the perimeter of a rectangle is \(P=2(l + w)\), where \(l=x^{2}+3x - 4\) and \(w=x + 3\).

$$
LATEXBLOCK1
$$

Answer:

• Area: \(x^{3}+6x^{2}+5x - 12\)
• Perimeter: \(2x^{2}+8x - 2\)