SOLUTION: A rectangular room must have a perimeter of 90 feet and an area of at least 250 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a

Algebra ->  Rectangles -> SOLUTION: A rectangular room must have a perimeter of 90 feet and an area of at least 250 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a       Log On


   

Question 1063230: A rectangular room must have a perimeter of 90 feet and an area of at least 250 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
w and L
system%282w%2B2L=90%2CwL%3E=250%29


w%2BL=45
L=45-w

Substitute.
wL%3E=250
w%2845-w%29%3E=250
-w%5E2%2B45w%3E=250
-w%5E2%2B45w-250%3E=0
w%5E2-45w%2B250%3C=0
%28w-5%29%28w-50%29%3C=0

Solution is between and including the two zeros.
highlight%285%3C=w%3C=50%29

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

A rectangular room must have a perimeter of 90 feet and an area of at least 250 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.
Dimensions: 38.50781059 by 6.492189406, or 38.5 by 6.5

Therefore, highlight_green%286.5+%3C=+width+%3C=+38.5%29