Question

what is the area of the rectangle below?
8
x + 2
a 8x + 2

b 8x + 16

c 2x + 20

Explanation:

Step1: Recall area formula for rectangle

The area of a rectangle is given by \( A = \text{length} \times \text{width} \). Here, length is \( x + 2 \) and width is \( 8 \).

Step2: Apply distributive property

Using the distributive property \( a(b + c) = ab + ac \), we multiply \( 8 \) with \( (x + 2) \):
\( 8(x + 2) = 8 \times x + 8 \times 2 \)

Step3: Simplify the expression

Simplify \( 8 \times x + 8 \times 2 \) to get \( 8x + 16 \).

Answer:

b. \( 8x + 16 \)