Question

the second floor of a tiny house has a width of 8 feet. the living room has a length of 20 feet the bedroom has a length of 4 feet. you can find the total area of the house by multiplying the length and width. which expression represents the area? 8(20 + 4) you can also find the total area of the house by adding the areas of the two rooms. which expression represents the area? 20·4 + 20·8 20·20 + 4·8 8·8 + 4·4 8·20 + 8·4

Explanation:

Step1: Recall Area of Rectangle

The area of a rectangle is given by \( A = \text{length} \times \text{width} \). For the living room, length is 20 ft and width is 8 ft, so its area is \( 8 \times 20 \). For the bedroom, length is 4 ft and width is 8 ft, so its area is \( 8 \times 4 \).

Step2: Total Area by Adding Rooms

To find the total area, we add the area of the living room and the area of the bedroom. So total area \( = 8 \times 20 + 8 \times 4 \).

Answer:

\( 8 \cdot 20 + 8 \cdot 4 \) (the last option in the set of four options for the second part)