Mathematics 24 Online
OpenStudy (anonymous):

A carpet layer wisher to determine the cost of carpeting a rectangular room whose perimeter is 52 feet. Suppose that the lenght of the room is 4 feet more than its width. Find: a. the length and width of the room; b. the cost of the carpet if it costs \$18.95 per square yard. Thanks.

OpenStudy (anonymous):

a) solve $52 = 2x+2(x+4)$ for x

OpenStudy (anonymous):

$52=2x+2x+8$ $52=4x+8$ $44=4x$ $x=11$ so dimensions are 11 by 15

OpenStudy (anonymous):

and area is $11\times 15=165$ finally $165\times \18.95=\3126.75$

OpenStudy (anonymous):

thank you so much for your help

OpenStudy (anonymous):

yw

OpenStudy (anonymous):

May I bother you with another problem?

OpenStudy (anonymous):

name it

OpenStudy (anonymous):

thanks A carpenter needs 2 pieces of lumber which together are 21 feet long. The longer piece needs to be 1 foot longer than 3 times the length of the shorter piece. Find the lenght of each piece.

OpenStudy (anonymous):

maybe we use two variables $x+y=21$ $x=3y+1$

OpenStudy (anonymous):

where x is the longer piece. so the first equation says $3y+1+y=21$ $4y+1=21$ $4y=20$ $y=5$

OpenStudy (anonymous):

shorter one is 5, longer one is 16

OpenStudy (anonymous):

but please don't think there is any one right way to do this. you could have said "let x = length of shorter one, then since the total is 21 to longer one must be 21 - x" then solve $3x+1=21-x$

OpenStudy (anonymous):

or you could have solved for the longer one. it is really a matter of naming a variable and then coming up with two expressions that involve the variable.

OpenStudy (anonymous):

see what i came up with was x+1f+3x=21f and came up with the same answer x=5

OpenStudy (anonymous):

but your makes more sense, thanks again