SOLUTION: a rectangular skating rink measuring 30 m by 20 m is to be doubled in area by adding a strip at one end and a strip of the same width along one side. find the width of the strips
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Question 610085: a rectangular skating rink measuring 30 m by 20 m is to be doubled in area by adding a strip at one end and a strip of the same width along one side. find the width of the strips
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a rectangular skating rink measuring 30 m by 20 m is to be doubled in area by adding a strip at one end and a strip of the same width along one side.
find the width of the strips
:
Find the original area: 30 * 20 = 600
Find the doubled area: 2 * 600 = 1200 sq/m
:
Let x = the length of the strip on end and on the side
:
(x+30)*(x+20) = 1200
x^2 + 20x + 30x + 600 - 1200 = 0
x^2 + 50x - 600 = 0
Factors to
(x + 60)(x - 10) = 0
the positive solution all we want here
x = 10 meters is the width of the strips
:
:
Check this
(10+30) + (10+20) = 1200
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