Question

A rectangle has a perimeter of 68 ft. The length and width are scaled by a factor 1.5The perimeter of the resulting rectangle is ___ ft.

Answer 1

Step 1: Given a rectangle has a perimeter of 68 ft.

Formula

`\begin{gathered} Perimeter\text{= 2(L+B)} \\ 68\text{ = 2L + 2B} \\ \end{gathered}`

Step 2: Find the perimeter when scaled by a factor 1.5

Then the perimeter of the resulting rectangle

`\begin{gathered} P_1=\text{ 2L + 2B} \\ P_2\text{ = 1.5(2}L\text{ +2B)} \\ P_{2_{}_{}_{}_{}_{}_{}_{}_{}_{}}\text{ = 1.5 (68)} \\ P_2\text{ = 102} \end{gathered}`

Hence the perimeter of the resulting rectangle is 102ft​