The measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches
Let x = length of base and leg
The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)
Where: b = base
P = b₁ + b₂ + 2(leg)
28 = 3x + 5x + 2(x)
28 = 8x + 2x
28/10 = 10x/10
2.8 = x
Now, substitute the values:
P = b₁ + b₂ + 2(leg)
28 = 3(2.8) + 5(2.8) + 2(2.8)
28 = 8.4 + 14 + 5.6
28 = 28
Hence the measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches
28 men are needed to paint the room in 3 hours
<h3><u>Solution:</u></h3>
Given that it takes 12 hours for 7 men to paint a room
We are asked to find number of men required to paint the room in 3 hours
Recognize, "paint the room" is 1 task. One job.
7 men -------- 12 hours ------ 1 job
(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job
The one men is rate is 84 hours to do the job
We can express this as 1/84 jobs per hour, the one-person rate
Now lets find how many men needed to paint the room in 3 hours
Let the required number of men for 3 hours be "a"
The rates of each person is simply additive.

corresponds to rate x hours = jobs and "a" is a variable for how many men

Thus 28 men are needed to paint the room in 3 hours
Here, we are required to determine the solution to the equation: 13.7y = 6.2y + 30?
The solution to the equation is y = 7.5
The solution is thus,
- 13.7y = 6.2y + 30
- 13.7y - 6.2y = 30
- 7.5y = 30
Therefore, y = 30/7.5 = 4
Therefore, y = 4 is the solution to the equation.
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Lets round each distance to the nearest tens place, and then add them up to get an estimate. 143 rounds down to 140, 138 rounds up to 140, and 141 rounds down to 140. So: 140 + 140 + 140 = 420 miles