Question

find the lengths of the unknown sides. be sure to include

4mm
a = 36 mm²
side c =

21m
a = 21 m²
side a =

7 cm
a = 49 cm²
side t =

Explanation:

Step1: Recall rectangle area formula

The area of a rectangle is $A = l \times w$, where $l$ is length, $w$ is width. Rearranged for unknown side: $w = \frac{A}{l}$

Step2: Solve for side $c$

Substitute $A=36\ \text{mm}^2$, $l=4\ \text{mm}$
$\text{Side } c = \frac{36}{9} = 9\ \text{mm}$

Step3: Solve for side $a$

Substitute $A=21\ \text{m}^2$, $l=21\ \text{m}$
$\text{Side } a = \frac{21}{21} = 1\ \text{m}$

Step4: Solve for side $t$

Substitute $A=49\ \text{cm}^2$, $l=7\ \text{cm}$
$\text{Side } t = \frac{49}{7} = 7\ \text{cm}$

Answer:

Side $c = 9\ \text{mm}$
Side $a = 1\ \text{m}$
Side $t = 7\ \text{cm}$