Question

Look at the diagram. If RS= 8y + 4, ST = 4y + 8, and RT = 36, find the value of y.

Answer 1

RS= 8y + 4, ST = 4y + 8, and RT = 36

RS + ST = RT
8y + 4 + 4y + 8 = 36
12y + 12 = 36
12y = 24
y = 2

answer
y = 2 (first choice)

Answer 2

(A) y=2

Explanation:

It is given that
`RS=8y+4`,
`ST=4y+8`and
`RT = 36,` then

According to the figure given, we have

`RT=RS+ST`

`36=8y+4+4y+8`

`36=12y+12`

`24=12y`

`y=(24)/(12)`

`y=2`

Thus, the value of y will be 2.

Hence, option A is correct.