To find the area of a trapezoid, you can use the formula:
[tex]\[ \text{Area (A)} = \frac{1}{2} \times (b_1 + b_2) \times h \][/tex]
Given:
[tex]\( b_1 = 5 \, \text{cm} \)[/tex]
[tex]\( b_2 = 19 \, \text{cm} \)[/tex]
[tex]\( h = 27 \, \text{cm} \)[/tex]
Substitute the values into the formula:
[tex]\[ \text{Area (A)} = \frac{1}{2} \times (5 + 19) \times 27 \][/tex]
[tex]\[ \text{Area (A)} = \frac{1}{2} \times 24 \times 27 \][/tex]
[tex]\[ \text{Area (A)} = 12 \times 27 \][/tex]
[tex]\[ \text{Area (A)} = 324 \, \text{cm}^2 \][/tex]
Therefore, the area of the trapezoid is [tex]\( 324 \, \text{cm}^2 \)[/tex].
