Question

expression for surface area of attic:
45 (40 + 25 + 25) + \frac{1}{2}(40 \times 15)

click the arrows to choose an answer from each menu to explain your reasoning.
the net linda drew is choose... . the first term of linda’s expression,
45 (40 + 25 + 25), choose... . the second term of linda’s expression,
\frac{1}{2}(40 \times 15), is choose... . the surface area of linda’s attic is
choose... square feet.

Explanation:

Step1: Calculate the first term

First, simplify the parentheses in \( 45(40 + 25 + 25) \). \( 40 + 25 + 25 = 90 \). Then multiply by 45: \( 45\times90 = 4050 \).

Step2: Calculate the second term

For \( \frac{1}{2}(40\times15) \), first calculate \( 40\times15 = 600 \), then multiply by \( \frac{1}{2} \): \( \frac{1}{2}\times600 = 300 \).

Step3: Sum the two terms

Add the results of the first and second terms: \( 4050 + 300 = 4350 \).

Answer:

The surface area of Linda’s attic is 4350 square feet. (For the other "Choose..." parts, more context on the options is needed, but the surface area calculation gives 4350.)