Question

find the area. simplify your answer. x + 2 x + 6

Explanation:

Step1: Recall the area formula for a parallelogram

The area formula for a parallelogram is \(A = base\times height\). Here, the base \(b=x + 6\) and the height \(h=x + 2\).

Step2: Substitute into the formula

Substitute \(b=x + 6\) and \(h=x + 2\) into \(A=b\times h\), we get \(A=(x + 6)(x + 2)\).

Step3: Expand the product

Use the FOIL method: \((x+6)(x + 2)=x\times x+x\times2+6\times x+6\times2\).
Simplify each term: \(x^{2}+2x+6x + 12\).
Combine like - terms: \(x^{2}+(2x+6x)+12=x^{2}+8x + 12\).

Answer:

\(x^{2}+8x + 12\)