Question

1.) a trapezoid diagram with top base 6 cm, bottom base 10 cm, height 6 cm, and non - parallel sides labeled 7.5 cm each (previous area calculation example with 53.96 in² is also visible but not relevant to this question).

Explanation:

Step1: Identify the shape (trapezoid)

The figure is a trapezoid with bases \( a = 6\,\text{cm} \), \( b = 10\,\text{cm} \), and height \( h = 6\,\text{cm} \).

Step2: Use trapezoid area formula

The formula for the area of a trapezoid is \( A=\frac{(a + b)}{2}\times h \).
Substitute \( a = 6 \), \( b = 10 \), \( h = 6 \):
\( A=\frac{(6 + 10)}{2}\times 6 \)

Step3: Calculate the sum of bases

\( 6 + 10 = 16 \)

Step4: Divide by 2

\( \frac{16}{2}=8 \)

Step5: Multiply by height

\( 8\times 6 = 48 \)

Answer:

The area of the trapezoid is \( 48\,\text{cm}^2 \).