SOLUTION: What is the length and width of a rectangle with a perimeter of 24, and area of 34? and What is the length and width of a rectangle with a perimeter of 24, and area of 37?

Algebra ->  Rectangles -> SOLUTION: What is the length and width of a rectangle with a perimeter of 24, and area of 34? and What is the length and width of a rectangle with a perimeter of 24, and area of 37?       Log On


   

Question 847994: What is the length and width of a rectangle with a perimeter of 24, and area of 34?
and
What is the length and width of a rectangle with a perimeter of 24, and area of 37?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



P = 2%2AL+%2B+2%2Aw+=+24   0r ****   L + w = 12   L+=+green%28w-12%29

 (12-w)w = 34

 w^2 - 12w + 34 = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%2812+%2B-+sqrt%28+8+%29%29%2F%282%29+=%2812+%2B-+sqrt%28+4%2A2+%29%29%2F%282%29++

x+=+6+%2B-+sqrt%28+2+%29

L = 6+%2B+sqrt%28+2+%29  and w = 6+-+sqrt%28+2+%29 

CHECKING our answer***

 l *w = 34  and L + w = 12

Wish You the Best in your Studies.