Question

you can find the total area of the house by multiplying the length and width. which expression represents the area? 8(20 + 4) 20·4 + 8 8·20·4 20(8 + 4)

Explanation:

Step1: Recall Area of Rectangle

The area of a rectangle is \( \text{length} \times \text{width} \). From the diagram, we need to determine the correct length and width. If we consider the total length as \( 20 + 4 \) (maybe combining parts) and width as 8, or check each option.

Step2: Analyze Each Option

• Option 1: \( 8(20 + 4) \) – If the length is \( 20 + 4 \) and width is 8, this is \( \text{width} \times (\text{length part1} + \text{length part2}) \), which fits the area formula.
• Option 2: \( 20 \cdot 4 + 8 \) – This is a product plus a number, not a rectangle area formula (should be length×width).
• Option 3: \( 8 \cdot 20 \cdot 4 \) – This is multiplying three numbers, not a standard rectangle area (which is two - dimensional, length×width).
• Option 4: \( 20(8 + 4) \) – If length is 20 and width is \( 8 + 4 \), but from the diagram, the width is 8, so this is incorrect.

Answer:

\( 8(20 + 4) \) (the first option in the list of expressions)