translate into an equation and solve. the perimeter of a rectangular driveway is 290 ft. the length is 1ft longer than twice the width. find the dimensions of the driveway. show work please
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OpenStudy (kropot72):
Let the width of the driveway = w feet
Then the length = (2w + 1)
The perimeter of a rectangle = (2 * width) + (2 * length)
Can you find the equation for the perimeter of the driveway in question now?
OpenStudy (anonymous):
not exactly, hang on
OpenStudy (kropot72):
Perimeter = 290 = 2w + 2(2w + 1)
OpenStudy (anonymous):
so just find w?
OpenStudy (kropot72):
Yes, just solve for w.
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OpenStudy (anonymous):
ooooh ok !!! now i can get it then
OpenStudy (anonymous):
290=2w+2(2w+1)
290=2w+4w+2
290=6w+2
290= what do i do next?
OpenStudy (anonymous):
i know im trying to get w on its own but wheich side do i start on?
OpenStudy (kropot72):
Good work! Now just subtract 2 from each side of the equation to get an expression for 6w.
OpenStudy (anonymous):
288=6w
then just divide each side by 6?to get w alone?
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OpenStudy (kropot72):
Correct. Then just double the result and add 1 to find the length in feet.
OpenStudy (anonymous):
w=48
OpenStudy (anonymous):
1 sec
OpenStudy (anonymous):
97?
because to double i do 48*2=96+1=97
OpenStudy (kropot72):
Well done :)
Your results for width and length are correct. Don't forget to add the units (feet) to your answer.
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