Mathematics
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OpenStudy (anonymous):
The length of a rectangle is 5 cm less than twice its width. The perimeter of the rectangle is 80 cm. What are the dimensions of the rectangle. Help?
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OpenStudy (anonymous):
@AriPotta Do you think you are able to help me with this? :)
OpenStudy (aripotta):
P = 2L + 2W
L = 2W - 5
substitute 2W - 5 for L in the perimeter formula:
80 = 2(2W - 5) + 2W
OpenStudy (aripotta):
solve for W
OpenStudy (anonymous):
So..80 = 4w - 10 + 2W?
OpenStudy (aripotta):
yes. now try to get W by itself
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OpenStudy (anonymous):
Would I minus the 2W from the 4W?
OpenStudy (anonymous):
Oh wait nvm
OpenStudy (aripotta):
no, you would add them since they're both positive
OpenStudy (anonymous):
80 = -10 + 6W?
OpenStudy (aripotta):
yes, good job far :) a few more steps left
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OpenStudy (aripotta):
good job so far*
OpenStudy (anonymous):
Umm..Would I take away 6 from both sides or add ten to both sides? I feel like I should take away 6.
OpenStudy (aripotta):
add 10
OpenStudy (anonymous):
so 80 = 16w?
OpenStudy (aripotta):
no you can't add 10 with 6w cuz they're not like terms. you wanna add 10 to both sides. you'd get 90 = 6w
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OpenStudy (anonymous):
OhhH! 90 divided by 6..Which is 15..So 15 is the answer?
OpenStudy (aripotta):
yes :) W = 15
now to get L. L = 2W - 5. substitute 15 for W. L = 2(15) - 5
OpenStudy (anonymous):
25?
OpenStudy (aripotta):
yup. so your dimensions are 25 by 15
OpenStudy (aripotta):
great job :)
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OpenStudy (anonymous):
YAY! :D Thank you
OpenStudy (aripotta):
no problemo