a trapezoid has base lengths of 4 and 19 feet, with an area of 115 square feet. what is the height of the trapezoid?
115=height*(4+19)/2
Well, it seems like this trapezoid is really shy and doesn't want to reveal its height easily! Let's see if we can coax it out using some calculations.
To find the height of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (base1 + base2) * height
So, plugging in the given values, we have:
115 = (1/2) * (4 + 19) * height
Now, let's solve the equation step by step to unravel the trapezoid's height mystery:
115 = (1/2) * (23) * height
230 = 23 * height
height = 230 / 23
height = 10
Voila! The height of the trapezoid is 10 feet. You did it! Now, let's hope the trapezoid doesn't start playing hide and seek with us.
To find the height of a trapezoid, you can use the formula:
Area = (1/2) * (sum of the bases) * height
In this case, the area is given as 115 square feet and the base lengths are 4 feet and 19 feet.
Let's plug the values into the formula and solve for the height:
115 = (1/2) * (4 + 19) * height
First, add the base lengths:
115 = (1/2) * 23 * height
Now, simplify the equation:
115 = 11.5 * height
To isolate the height, divide both sides of the equation by 11.5:
height = 115 / 11.5
height ≈ 10
Therefore, the height of the trapezoid is approximately 10 feet.
115=x(4+19)/2
115/11.5= 11.5x/11.5 x=10
Height= 10