SOLUTION: 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 c
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-> SOLUTION: 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 c
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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
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
