Question

12 if quadrilateral q is a scaled copy of quadrilateral p created with a scale factor of 3, what is the perimeter of q? image of trapezoid p with top base 7, legs 15, bottom base 25 blank box for answer

Explanation:

Step1: Calculate perimeter of P

Perimeter of \( P = 7 + 15 + 25 + 15 \)
\( = 7 + 15\times2 + 25 \)
\( = 7 + 30 + 25 \)
\( = 62 \)

Step2: Find perimeter of Q (scale factor 3)

When a figure is scaled by a factor \( k \), its perimeter scales by \( k \). So perimeter of \( Q = 3\times \) perimeter of \( P \)
\( = 3\times62 \)
\( = 186 \)

Answer:

186