the perimeter of a standard sized rectangular rug is 24 ft. The length is 2 ft longer than the width. Find the dimensions.
what is the width?
what is the length?
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OpenStudy (marigirl):
we can say the width is 'x', then the length is x+2
then we can write the perimeter as
x+x+x+2+x+2=24
4x+4=24
can u go from here?
OpenStudy (anonymous):
no I don't get it
OpenStudy (marigirl):
would u like a diagram?
OpenStudy (marigirl):
i can draw it
OpenStudy (anonymous):
surre
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OpenStudy (anonymous):
no it wont open it
OpenStudy (marigirl):
okay, lets say the width of this rectangle is x .. an unknown
then the length is 2ft longer than width .. so we can write it as width+2 which is x+2
are u with me so far
OpenStudy (anonymous):
yes
OpenStudy (marigirl):
cool, now the perimeter is the measurement around the outside.. we will have two sides of width and two sides of length right?
OpenStudy (anonymous):
yes
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OpenStudy (marigirl):
so its like writing
x + x + x+2 + x+2=24
(Both widths) (both lengths) (total of 24ft given in question)
OpenStudy (anonymous):
okay so how would I do it
OpenStudy (marigirl):
then we solve for x..
there are 4 'x' on the left side and then 2+2
4x+2=24
4x=20
x=5.. which means the width is 5
OpenStudy (marigirl):
dont forget the length is 2ft longer than width
OpenStudy (anonymous):
so width is 5 and length is 7
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