Question

help please! Find the area of parallelogram MLKJ. You will need to use soh cah toa eventually to find the area. Round final answers to one decimal place. Show your work please.

Answer 1

133.5

Explanation:

Area of paralleogram is base x height. The base is 15 as given. We need to find the height.

Using triangle MNJ we can find it.

We need to find side MN but we are given an angle adjacent to that side 90. We also given another angle and a side adjacent to that angle 52 and 7 respectively.

We can use law of sines to find MN

`(mn)/( \sin(90) ) = (7)/( \sin(52) )`

sin of 90 =1 so multiply 1 by both sides

`mn = (7)/( \sin(52) ) * 1`

simplify that and we get mn=8.9.

So know we can multiply 8.9 by 1t to find the area.

15×8.9=

133.5