Question

Qouadrilateral A has side length 6,9,9 and 12 quadrilateral B is a scaled copy of quadrilateral A, with its, shortest side of length 2. what is the perimeter of quadrilateral B? Draw a picture to help you

Answer 1

The perimeter of quadrilateral B is 12.

Explanation

Quadrilateral A has side lengths as  6, 9, 9 and 12.  In quadrilateral B, length of the shortest side is 2.

As quadrilateral B is a scaled copy of quadrilateral A, so the scale factor will be...

(Shortest side of B / Shortest side of A) $=\frac{2}{6}=\frac{1}{3}$

Now the remaining side lengths for quadrilateral B will be.....

$(9*\frac{1}{3}) , (9*\frac{1}{3})$ and $(12*\frac{1}{3})$

⇒  3 , 3 and 4  

Thus, the perimeter of quadrilateral B is $= 2+3+3+4= 12$