Question

2.) diagram: a trapezoid or composite figure with top base 8 cm, bottom base 14 cm, height 5 cm (perpendicular), and legs 10 cm each. also, a parallelogram above with sides 8 m, base 4 m, and area 43.2 m².

Explanation:

Step1: Identify the shape (trapezoid)

The figure is a trapezoid with bases \( a = 8\,\text{cm} \), \( b = 14\,\text{cm} \), and height \( h = 5\,\text{cm} \). The formula for the area of a trapezoid is \( A=\frac{(a + b)}{2}\times h \).

Step2: Substitute values into the formula

Substitute \( a = 8 \), \( b = 14 \), and \( h = 5 \) into the formula:
\( A=\frac{(8 + 14)}{2}\times5 \)
First, calculate the sum of the bases: \( 8 + 14 = 22 \).
Then, divide by 2: \( \frac{22}{2}=11 \).
Finally, multiply by the height: \( 11\times5 = 55 \).

Answer:

The area of the trapezoid is \( 55\,\text{cm}^2 \).