Question

use the formula a = bh for the area of a parallelogram to solve for the missing variable.

1. a = ?, b = 6 ft, h = 3 ft
2. a = 34 ft², b = ?, h = 4 ft
3. a = 175 m², b = 25 m, h = ?
4. a = ?, b = 23 cm, h = 15 cm

Explanation:

Step1: Recall the area formula

The formula for the area of a parallelogram is $A = bh$, where $A$ is the area, $b$ is the base, and $h$ is the height. We can re - arrange the formula to solve for the missing variable.

Step2: Solve for the missing variable in problem 5

Given $A =?$, $b = 6$ ft, $h = 3$ ft. Using $A=bh$, we substitute the values: $A=6\times3$.
$A = 18$ ft²

Step3: Solve for the missing variable in problem 6

Given $A = 34$ ft², $b =?$, $h = 4$ ft. From $A = bh$, we can solve for $b$ by $b=\frac{A}{h}$. Substitute the values: $b=\frac{34}{4}=8.5$ ft

Step4: Solve for the missing variable in problem 7

Given $A = 175$ m², $b = 25$ m, $h =?$. From $A = bh$, we can solve for $h$ by $h=\frac{A}{b}$. Substitute the values: $h=\frac{175}{25}=7$ m

Step5: Solve for the missing variable in problem 8

Given $A =?$, $b = 23$ cm, $h = 15$ cm. Using $A = bh$, we substitute the values: $A=23\times15 = 345$ cm²

Answer:

1. $A = 18$ ft²
2. $b = 8.5$ ft
3. $h = 7$ m
4. $A = 345$ cm²