Question 168097This question is from textbook Hall Mercer Intermediate Algebra
: A square mat has a uniform red border on all four sides. The rest of the mat is blue. The width of the blue square is three-fourths the width of the entire square. If the area colored red is 28 m squared, determine the lengths of each side of the mat.
I have tried W^2 - 3/4W^2 = 28
Also W^2 - (W-1/4)^2=28
Mainly need help on setting up. I am alright after the problem is set up into a math problem rather than a word problem.
Thanks
This question is from textbook Hall Mercer Intermediate Algebra
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website!
LOOKS TO ME LIKE YOU ARE RIGHT ON WITH THE FIRST TRY!!!!!!
Let W=width of entire square
Then 0.75W=width of the blue square
Area colored red would be width of entire square minus width of blue square, or:
Area colored red=W^2-0.75W^2 and we are told that this equals 28 sq m, so, our equation to solve is:
W^2-0.75W^2=28 or
0.25W^2=28 divide each side by 0.25
W^2=112 sq m take square root of each side
W=plus or minus 10.6 m disregard negative value for W
W=10.6 m
0.75W=0.75*10.6=7.95 m
CK
112-84=28
28=28
Hope this helps----ptaylor
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