I missed this problem on my test. I had 23 ft and the correct answer was 16 ft.
How should I of worked this problem?
A trapezoid has base lengths of 8.5 and 14.5 feet with the area of 184 square feet. What is the height of the trapezoid? Thanks for your help!
area= (b1+b2)/2 * h
184=(23/2)h
h= 368/23=16
It is important to figure out what you did wrong.
thanks for helping bob
To find the height of a trapezoid, you can use the formula:
Area = (1/2) × (base1 + base2) × height
In this case, you are given the base lengths (8.5 and 14.5 feet) and the area (184 square feet). So you can substitute these values into the formula and solve for the height.
184 = (1/2) × (8.5 + 14.5) × height
First, add the two base lengths: 8.5 + 14.5 = 23
Now substitute this sum into the equation:
184 = (1/2) × 23 × height
Next, simplify the equation:
184 = 11.5 × height
To solve for the height, divide both sides of the equation by 11.5:
height = 184 ÷ 11.5
Calculating the right-hand side: height ≈ 16 ft
So, the height of the trapezoid is approximately 16 feet.