Question

If SA = 5x -8, AD = 2x, and SD = 4x + 7, find SD.
A
D

Answer 1

SD = 27.

Explanation:

It is given that,

SA = 5x-8

AD = 2x

SD = 4x+7

Note : A should be the mid point of S and D.

SD = SA+AD

Putting all the values,

4x+7=5x-8+2x

taking like terms together

4x-5x-2x=-8-7

-3x=-15

x = 5

The value of x is 5

Put x = 5 in SD = 4x + 7

So,

SD = 4(5) + 7

SD = 27 units

So, the value of SD = 27.