Question

A rectonale has an area of
36cm and width 3cm. Find it's perimeter.​

Answer 1

`\boxed{ \bold {\huge{ \text{30 \: cm}}}}`

Explanation:

`\star{ \sf{ \underline{ \: \: Given}}}`

Area of a rectangle ( A ) = 36 cm²

Width of a rectangle ( w ) = 3 cm

`\star{ \sf{ \underline{ \: \: To \: Find}}}` :

Perimeter of a rectangle ( P ) = ?

First, finding the length of a rectangle ( l ) :

`\boxed{\text{area \: of \: a \: rectangle = length ∗ width}}`

`\dashrightarrow{ \sf{36 = length * 3}}`

`\dashrightarrow{ \sf{36 = 3 \: length}}`

`\dashrightarrow{ \sf{3 \: length = 36}}`

`\dashrightarrow{ \sf{ (3 \: length)/(3) = (36)/(3) }}`

`\dashrightarrow{ \sf{length = 12 \: cm}}`

Length of a rectangle = 12 cm

Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm

`\boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}`

`{ \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}`

`\dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 * 15}}`

`\dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}`

Perimeter of a rectangle = 30 cm

Hope I helped!

Best regards! :D

Answer 2

It is 29 hope this helps