The height of a trapezoid is 12 feet and the bases are 9 and 15 feet. What is the area?

54

144

288

72

1 answer

The area \( A \) of a trapezoid can be calculated using the formula:

\[ A = \frac{1}{2} \times (b_1 + b_2) \times h \]

where \( b_1 \) and \( b_2 \) are the lengths of the two bases, and \( h \) is the height.

In this case:

  • \( b_1 = 9 \) feet
  • \( b_2 = 15 \) feet
  • \( h = 12 \) feet

Substituting the values into the formula:

\[ A = \frac{1}{2} \times (9 + 15) \times 12 \]

Calculating \( 9 + 15 \):

\[ 9 + 15 = 24 \]

Now substitute back into the formula:

\[ A = \frac{1}{2} \times 24 \times 12 \]

Calculating the multiplication:

\[ A = 12 \times 12 = 144 \]

Thus, the area of the trapezoid is

\[ \boxed{144} \text{ square feet.} \]