Question

What is the ratio of the area of ABC to the area of ABD ?

A . 3/5
B. 9/16
C. 8/15
D. 3/4

Answer 1

9/16

Explanation:

got it right on the test.

Answer 2

Answer: 9/16

Explanation:

Using the area formula for a triangle,
`A=(1)/(2)bh`, where b is the base and h is the height,

• The area of triangle ABC is
  `(1)/(2)(12)(9)=54`
• The area of triangle ABD is
  `(1)/(2)(12)(16)=96`

So, the ratio of the areas is
`(54)/(96)=\boxed{9/16}`