If the area of a trapezoid is 209 square yards and the bases are 15 yards and 23 yards. What is the height of the trapezoid?
Area of trapezoid
=(sum of bases)*height
Here you have
209 = (15+23)*height
What would be the height?
area is (sum of bases)/2 * height
Thank you Steve.
np. I've made plenty of typos/slips myself.
To find the height of a trapezoid, we can use the formula:
Area = (1/2) * (a + b) * h,
where:
- Area represents the area of the trapezoid,
- a and b are the lengths of the bases of the trapezoid, and
- h denotes the height of the trapezoid.
In this case, we are given the area of the trapezoid as 209 square yards and the lengths of the bases as 15 yards and 23 yards. Let's plug these values into the formula:
209 = (1/2) * (15 + 23) * h.
To solve for h, the height, we can rearrange the equation:
2 * 209 = 38 * h.
Now, divide both sides of the equation by 38:
(2 * 209) / 38 = h.
Simplifying this expression gives us:
418 / 38 = h.
Now, we can calculate the height of the trapezoid:
h ≈ 11 yards.
Therefore, the height of the trapezoid is approximately 11 yards.