QuestionFind the missing base of a trapezoid with height 3 in, known base 8 in, and area 21 sq in.
Studdy Solution
STEP 1
Assumptions1. The height of the trapezoid is3 inches. The length of the known base is8 inches3. The area of the trapezoid is21 square inches4. The formula for the area of a trapezoid is given by
STEP 2
We need to find the length of the missing base. Let's denote this as . We can rearrange the formula for the area of a trapezoid to solve for .
STEP 3
Now, plug in the given values for the area, height, and known base into the formula to find the length of the missing base.
STEP 4
First, calculate the division in the equation.
STEP 5
Continue with the calculation.
STEP 6
Finally, subtract8 inches from14 inches to find the length of the missing base.
The length of the missing base of the trapezoid is6 inches.
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