Question

expression for surface area of attic: 45(40 + 25 + 25)+\frac{1}{2}(40\times15)
click the arrows to choose an answer from each menu to explain your reasoning.
the net linda drew is choose...
45(40 + 25 + 25) choose...
\frac{1}{2}(40\times15) is choose...
choose... square feet.
. the first term of lindas expression,
. the second term of lindas expression,
. the surface area of lindas attic is

Explanation:

Step1: Analyze the first - term

The first term $45(40 + 25+25)$ represents the sum of the areas of the vertical rectangular faces of the attic. The height of these rectangles is 45 ft and the sum of their lengths is $(40 + 25 + 25)$ ft.

Step2: Analyze the second - term

The second term $\frac{1}{2}(40\times15)$ represents the area of one of the triangular faces of the attic. The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b = 40$ ft and $h = 15$ ft. Since there are two congruent triangular faces, we consider the area of one here for the expression.

Step3: Calculate the surface area

First, simplify the first term:
$45(40 + 25+25)=45\times90 = 4050$ square - feet.
Second, simplify the second term:
$\frac{1}{2}(40\times15)=\frac{1}{2}\times600 = 300$ square - feet.
The total surface area is $4050+300=4350$ square - feet.

Answer:

4350 square feet