Question

Please help if you can

Tia dilated the rectangle below by a scale factor of 7/2. What is ther perimeter of the new rectangle?
A
64 inches

B
220 inches

C
2695 inches

D
224 inches

Answer 1

Option D

Explanation:

Formula to be used,

Scale factor =
`\frac{\text{Dimension of the image rectangle}}{\text{Dimension of the original}}`

By this formula,

`(7)/(2)=\frac{\text{Length of the dilated rectangle}}{\text{Length of the original rectangle}}`

`(7)/(2)=(L)/(22)`

L =
`(7* 22)/(2)`

= 77 inches

Similarly, width of the the dilated rectangle =
`(7)/(2)* 10`

= 35 inches

Perimeter of the new rectangle = 2(Length + width)

= 2(77 + 35)

= 224 inches

Option (D) will be the correct option.