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.

Step-by-step 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)
`=(2)/(6)=(1)/(3)`

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

`(9*(1)/(3)) , (9*(1)/(3))` and
`(12*(1)/(3))`

⇒ 3 , 3 and 4

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