SOLUTION: A rectangular chart is 1 9⁄12 times as long as it is wide. If it were 10 centimeter longer and 1 centimeter wider, its area would be 57 square centimeters larger. How long is
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Question 299694: A rectangular chart is 1 9⁄12 times as long as it is wide. If it were 10 centimeter longer and 1 centimeter wider, its area would be 57 square centimeters larger. How long is the chart?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangular chart is 1 9⁄12 times as long as it is wide.
If it were 10 centimeter longer and 1 centimeter wider, its area would be 57
square centimeters larger. How long is the chart?
:
Convert 1 to 1.75
:
L = 1.75W
Find the original area
A = L*W
A1 = 1.75W^2
:
Find the new area:
A2 = (1.75W+10) * (W+1)
FOIL
A2 = 1.75W^2 + 1.75W + 10W + 10
A2 = 1.75W^2 + 11.75W + 10
:
New area - original area = 57 sq/cm
1.75W^2 + 11.75W + 10 - 1.75W^2 = 57
11.75W = 57 - 10
11.75W =
W = 4 cm is the original Width
:
L = 1.75 * 4
L = 7 cm is the original length
:
Check this
new dimensions: 17 by 5
(17*5) - (7*4) =
85 - 28 = 57; confirms our answers
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