Answer:
Explanation:
In the diagram, you have a trapezoid TUSV, where S and V are the bases, and UR is one of the legs. You're given the lengths of VS, TU, and TV.
Given:
VS = 9.3
TU = 32.7
TV = 18.7
To find the length of UR, you can use the formula for the area of a trapezoid:
Area = (1/2) * (sum of the bases) * height
In this case, the bases are VS and TU, and the height is UR. You want to solve for UR:
Area = (1/2) * (VS + TU) * UR
Now, plug in the given values and solve for UR:
Area = (1/2) * (9.3 + 32.7) * UR
Area = (1/2) * 42 * UR
Area = 21 * UR
Now, you're given the area of the trapezoid. To find UR, you can rearrange the formula:
UR = Area / 21
UR = 42.7 / 21
UR ≈ 2.0333 (rounded to four decimal places)
So, the length of UR is approximately 2.0 to the nearest tenth.