The area of a trapezoid is given by the formula:
Area = (1/2) * (a + b) * h
Where a and b are the lengths of the bases of the trapezoid and h is the height.
In this case, the bottom base of the shaded region is 10 feet, the left side is 9 feet, and the height is not given. The height can be found using Pythagorean theorem as it is a right-angled triangle formed by the left side and height.
So, the height (h) can be calculated as:
h^2 = 10^2 - 9^2
h^2 = 100 - 81
h^2 = 19
h = √19 ≈ 4.36 feet
Now, we can use the area formula to find the area of the shaded region:
Area = (1/2) * (10 + 9) * 4.36
Area = (1/2) * 19 * 4.36
Area ≈ 41.42 square feet
Therefore, the area of the shaded region is approximately 41.42 square feet.
What is the area of the shaded region and the shaded region has 10 feet on the bottom base and then we have 9 feet on the left side for the length
1 answer
1 answer