A scale drawing of a game room is shown below:

What is the area of the actual game room in square feet? Round your answer to the nearest whole number.

56 square feet

Step-by-step explanation:

Here you can set up a couple proportions.

First, let's focus on the length of the actual game room. We know the scale drawing length is 4.5 inches, and we know the scale is 1:30. So, our proportion is: , where x is the actual length we want to find.

Cross-multiplying, we get x = 135 inches. To convert this to feet, we just divide by 12 because there are 12 inches in 1 foot: 135 inches = 135/12 feet = 45/4 ft.

Now, let's look at the width of the actual game room. We know the scale drawing is 2 and the scale is 1:30. We can create another proportion:

, where y is the actual width we want to find.

Cross-multiplying, we get y = 60 inches. To convert this to feet, we divide by 12: 60 inches = 60/12 ft = 5 ft

Now, to find the area, we multiply 5 by 45/4:

5 * (45/4) = 225/4 = 56.25 ≈ 56 square feet

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

4

step-by-step explanation: