Answer:
807.8 in^2
Step-by-step explanation:
The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:
The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...
(18 in)(35.6 in) = 640.8 in^2
The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...
(9.6 in)(8.7 in) = 83.52 in^2
Then the total area is the lateral area plus the area of the two ends:
640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2
We need to solve how much it cost to paint a room with are 459 ft² given that a room with an area of 306 ft² costs $72. The solution is shown below:
Cost per area = $72 / 306 ft²
Cost per area = $0.2353 / ft²
Solving the cost for the similar room:
Costs = $0.2353 * 459 ft²
Costs = $108
The answer is $108.
If you're asking for the measurements, they are...
Length (l) = 4 ft.
Width (w) = 4 ft.
Height (h) = 4 ft.
Answer:
The garden is 9 feet wide and 26 feet long.
Step-by-step explanation:
L = W+17
area = LW = 234
(W+17)W = 234
W²+17W-234 = 0
Quadratic formula
W = [-17 ± √(17² – 4·1(-234))] / [2·1]
= [-17 ± √1225] / 2
= [-17 ± 35] /2
= -26, 9
-26 is an extraneous solution
W = 9
L = W+17 = 26
The garden is 9 feet wide and 26 feet long.
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
