Calculating Height of Trapezoid
To find the height of the trapezoid, we can use the formula for the area of a trapezoid:
\[ \text{Area} = \frac{1}{2}(b_1 + b_2)h \]
where:
- \( b_1 \) and \( b_2 \) are the lengths of the two parallel bases,
- \( h \) is the height.
From the given problem, we have:
- \( b_1 = 8 \text{ mm} \)
- \( b_2 = 6 \text{ mm} \)
- Area = \( 35 \text{ mm}^2 \)
Now, let's plug in the values and solve for \( h \):
\[ 35 = \frac{1}{2}(8 + 6)h \]
\[ 35 = \frac{1}{2}(14)h \]
\[ 35 = 7h \]
\[ h = 35 \div 7 \]
\[ h = 5 \text{ mm} \]
So, the height of the trapezoid is 5 mm.
