Question

1. directions: use the area formulas to find each missing measure. 13. a parallelogram with an area of 211.41 m² has a base that measures 24.3 m. find its height. 15. find the length of the second bar. 17. a semicircle has an area of 76.97 km². find its radius. 19. scott needs to replace a broken window at his house. the window is shaped like a triangle with dimensions shown below. if glass costs $18.75 per square - foot, how much will the replacement window cost?

Explanation:

13.

Step1: Recall area formula for parallelogram

The area formula of a parallelogram is $A = b\times h$, where $A$ is the area, $b$ is the base and $h$ is the height.

Step2: Solve for height

We know $A = 211.41$ m² and $b=24.3$ m. Rearranging the formula for $h$ gives $h=\frac{A}{b}$. Substituting the values, we have $h=\frac{211.41}{24.3}$.
$h = 8.7$ m

Step1: Recall area formula for semi - circle

The area formula of a semi - circle is $A=\frac{1}{2}\pi r^{2}$, where $A$ is the area and $r$ is the radius.

Step2: Solve for radius

We know $A = 76.97$ km². First, rewrite the formula for $r$:
$r^{2}=\frac{2A}{\pi}$. Then $r=\sqrt{\frac{2A}{\pi}}$. Substitute $A = 76.97$ km² and $\pi\approx3.14$ into the formula.
$r=\sqrt{\frac{2\times76.97}{3.14}}=\sqrt{\frac{153.94}{3.14}}=\sqrt{49}=7$ km

Answer:

$8.7$ m

17.