A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid?
• 4 meters************
• 144 meters
• 2 meters
• 1 meter
area = 1/2 (b1 + b2)h
24 = 1/2 (12)h
Yes 4
To find the height of a trapezoid given the area and the lengths of the bases, you can use the formula for the area of a trapezoid.
The formula for the area of a trapezoid is A = 0.5 * (b1 + b2) * h, where A represents the area, b1 and b2 represent the lengths of the bases, and h represents the height.
In this case, the area is given as 24 square meters, and the lengths of the bases are 5 meters and 7 meters.
We can substitute these values into the formula to solve for the height, h.
24 = 0.5 * (5 + 7) * h
First, simplify the equation inside the parentheses:
24 = 0.5 * 12 * h
Next, multiply 0.5 and 12:
24 = 6 * h
Now, divide both sides of the equation by 6 to isolate h:
h = 24 / 6
Simplifying the right side of the equation:
h = 4
Therefore, the height of the trapezoid is 4 meters.