Question

Quadrilateral MNOP is dilated by a scale factor of % to create quadrilateral M'N'O'P. The perimeter of quadrilateral MNOP is x units. What is the perimeter in units of quadrilateral M'N'O'P'? A. x units B. ( V2 x units COM X units D. 8/7 x units

Answer 1

If the perimeter of the quadrilateral MNOP is x

And a scale factor of a dilated image is

`(7)/(8)`

If the perimeter of M'N'O'P' = y

Then

`\text{scale factor = }\frac{perimeter\text{ of y}}{perimeter\text{ of x}}\text{ = }(7)/(8)`

Cross multiplying,

`perimeterofy=M^(\prime)N^(\prime)O^(\prime)P^(\prime)=(7)/(8)\text{ x units}`

The perimeter of M'N'O'P' = 7/8 x units

Option A is correct