Answer:
[tex] \boxed{ \bold {\huge{ \text{30 \: cm}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \underline{ \: \: Given}}}[/tex]
Area of a rectangle ( A ) = 36 cm²
Width of a rectangle ( w ) = 3 cm
[tex] \star{ \sf{ \underline{ \: \: To \: Find}}}[/tex] :
Perimeter of a rectangle ( P ) = ?
First, finding the length of a rectangle ( l ) :
[tex] \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}[/tex]
[tex] \dashrightarrow{ \sf{36 = length \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{36 = 3 \: length}}[/tex]
[tex] \dashrightarrow{ \sf{3 \: length = 36}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{length = 12 \: cm}}[/tex]
Length of a rectangle = 12 cm
Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm
[tex] \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
[tex] { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}[/tex]
[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}[/tex]
[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}[/tex]
Perimeter of a rectangle = 30 cm
Hope I helped!
Best regards! :D
