Question

what is the area?
4 cm
10 cm
10 cm
square centimeters
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Explanation:

Step1: Recall trapezoid area formula

The area \( A \) of a trapezoid is given by \( A=\frac{(a + b)h}{2} \), where \( a \) and \( b \) are the lengths of the two parallel sides (bases), and \( h \) is the height (the perpendicular distance between the bases).

Step2: Identify values

Here, \( a = 4\space\text{cm} \), \( b = 10\space\text{cm} \), and \( h = 10\space\text{cm} \).

Step3: Substitute into formula

Substitute the values into the formula: \( A=\frac{(4 + 10)\times10}{2} \).
First, calculate the sum of the bases: \( 4+10 = 14 \).
Then, multiply by the height: \( 14\times10 = 140 \).
Finally, divide by 2: \( \frac{140}{2}=70 \).

Answer:

70