SOLUTION: the length of an instructors bulletin board is 10in longer than the height. the perimeter of the bulletin board is 196in find the length and height

Algebra ->  Rectangles -> SOLUTION: the length of an instructors bulletin board is 10in longer than the height. the perimeter of the bulletin board is 196in find the length and height      Log On


   

Question 962499: the length of an instructors bulletin board is 10in longer than the height. the perimeter of the bulletin board is 196in find the length and height
Answer by hkwu(60) About Me  (Show Source):
You can put this solution on YOUR website!
If the perimeter is 196, then
196=2%28length+%2B+height%29
and
length+=+height+%2B+10
so
196=2%28l+%2B+h%29
196=2%28h+%2B+10+%2B+h%29
196=2%282h%2B10%29
196=4h%2B40
4h=156
h=39
and so
l=39%2B10=49
The board has length 49in and height 39in.