Question

the area of a plane figure is a measure of the amount of surface of the figure. find the area of the figure to the right. (the area of a triangle is 1/2 the product of its base and height.) the area of the triangle is . (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Recall area formula for triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Identify base and height values

From the problem, the base $b = \frac{2}{7}$ foot and the height $h=\frac{2}{7}$ foot.

Step3: Substitute values into formula

$A=\frac{1}{2}\times\frac{2}{7}\times\frac{2}{7}$.

Step4: Perform multiplication

First, $\frac{1}{2}\times\frac{2}{7}=\frac{1\times2}{2\times7}=\frac{1}{7}$. Then, $\frac{1}{7}\times\frac{2}{7}=\frac{1\times2}{7\times7}=\frac{2}{49}$.

Answer:

$\frac{2}{49}$