Question

problem 7 a company is designing a new logo that consists of a shaded triangle inside of a parallelogram. what fraction of the parallelograms area is shaded?

Explanation:

Step1: Recall area formulas

Area of parallelogram \(A_{p}=bh\), area of triangle \(A_{t}=\frac{1}{2}bh\).

Step2: Analyze relationship

The shaded triangle and the parallelogram have the same base \(b\) and height \(h\).

Step3: Calculate fraction

The fraction of the parallelogram's area that is shaded is \(\frac{A_{t}}{A_{p}}=\frac{\frac{1}{2}bh}{bh}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)