To find the area of a trapezoid, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \]
where \( b_1 \) and \( b_2 \) are the lengths of the two bases, and \( h \) is the height of the trapezoid.
Given:
- \( b_1 = 4 , \text{ft} \)
- \( b_2 = 6 , \text{ft} \)
- \( h = 10 , \text{ft} \)
Substituting the values into the formula:
\[ \text{Area} = \frac{1}{2} \times (4 + 6) \times 10 \]
\[ = \frac{1}{2} \times 10 \times 10 \]
\[ = \frac{1}{2} \times 100 \]
\[ = 50 , \text{ft}² \]
Thus, the area of the trapezoid is 50 ft².
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