Question

the area of a rectangle is 45.5 square inches. the base of the rectangle is 7 inches.
what is the height of the rectangle in inches?
a 318.5 in.
b 6.5 in.
c 15.75 in.
d 38.5 in.

Explanation:

Step1: Recall rectangle area formula

The area of a rectangle is given by $A = b \times h$, where $A$ is area, $b$ is base, $h$ is height.

Step2: Rearrange to solve for height

Isolate $h$: $h = \frac{A}{b}$

Step3: Substitute given values

Substitute $A=45.5$ and $b=7$:
$h = \frac{45.5}{7}$

Step4: Calculate the result

$h = 6.5$

Answer:

B 6.5 in.