Question

what is the area, in square feet, of the shape below? express your answer as a fraction in simplest form.
answer
a = ft²

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height

Here, the base \(b = \frac{4}{3}\) ft and the height \(h=\frac{2}{3}\) ft.

Step3: Substitute the values into the formula

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Step4: Simplify the fraction

Cancel out the common factor of 2 in the numerator and denominator. \(\frac{1\times4\times2}{2\times3\times3}=\frac{4}{9}\)

Answer:

\(\frac{4}{9}\)