The perimeter of a rectangle is 90 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 8: 7.
30 ft by 15 ft
26 ft by 19 ft
24 ft by 21 ft
20 ft by 25 ft
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OpenStudy (anonymous):
Perimeter = 2(l+w)
l /w = 8/7 => l = 8/7w
90 = 2(w+8/7w)
Solve for w then for l
OpenStudy (anonymous):
???
OpenStudy (catlover5925):
ok so I solved for W and I got 14.5 it is closest to A so that would be my answer
OpenStudy (anonymous):
And W means width right?
OpenStudy (catlover5925):
right
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OpenStudy (anonymous):
Ok
OpenStudy (catlover5925):
did I help at all?
OpenStudy (anonymous):
How did u find the width
OpenStudy (anonymous):
The perimeter divided by what?
OpenStudy (anonymous):
90 = 2(w +8/7w)
45 = 15/7w
45*7 /15 = w
21 = w
l = 8/7 w
l = 24
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OpenStudy (anonymous):
How did you get 15/7w
OpenStudy (anonymous):
w + 8/7w = (7w +8w)/7
OpenStudy (anonymous):
SO basically 7+8 divided by 7??
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
2.1428... is what i got ??
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OpenStudy (anonymous):
w is still unidentified here. you have
45 = (8+7)/7 * w
OpenStudy (anonymous):
WOAH...where did u get 45?!?!
OpenStudy (anonymous):
Im SOO sorry...i gotta go, Bye :(
OpenStudy (anonymous):
Perimeter of a rectangle is
P = 2(l+w)
l/w = 8/7 (given in question)
so l = 8/7 w
Perimeter = 90 (given )
90 = 2(w +8/7w)
90/2 = (7+8)/7 * w
45 = 15/7 *w