Question

inca architecture has many noteworthy features, one of which is the use of trapezoids for windows and doorways. the dimensions of the doorways vary but the one shown above has the following measures: the top is 61 cm and the bottom is 75 cm in width. the height of the door is 176 cm. calculate the area of the doorway in square cm. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify the formula for the area of a trapezoid

The formula for the area of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1\) and \(b_2\) are the lengths of the parallel sides and \(h\) is the height.

Step2: Substitute the given values into the formula

Here, \(b_1 = 61\) cm, \(b_2=75\) cm, and \(h = 176\) cm.

$$
LATEXBLOCK0
$$

Step3: Calculate the result

\(136\times88=(100 + 30+6)\times88=100\times88+30\times88 + 6\times88=8800+2640+528 = 11968\)

Answer:

\(11968.0\) square centimeters