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. Here, $b = \frac{4}{25}$ foot and $h=\frac{7}{8}$ foot.

Step2: Substitute values into formula

$A=\frac{1}{2}\times\frac{4}{25}\times\frac{7}{8}$.

Step3: Multiply the fractions

First, $\frac{1}{2}\times\frac{4}{25}=\frac{4}{50}=\frac{2}{25}$. Then, $\frac{2}{25}\times\frac{7}{8}=\frac{2\times7}{25\times8}=\frac{14}{200}$.

Step4: Simplify the fraction

$\frac{14}{200}=\frac{7}{100}$ square - foot.

Answer:

$\frac{7}{100}$