"A computer parts company wants to make a rectangular memory board that has
the perimeter of 28 cm and a diagonal length of 10 cm.
What are the demensions of the board?"
I need help defining the variables and figuring out the what the system of equations are
the perimeter of 28 cm and a diagonal length of 10 cm.
What are the demensions of the board?"
I need help defining the variables and figuring out the what the system of equations are
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2l+2w=28
l^2+w^2=10^2
2w=28-2l
w=-l+14
l^2+(-l+14)(-l+14)=100
l^2+l^2-28l+196=100
2l^2-28l+96=0
2(l^2-14l+48)=0
2(l-6)(l-8)=0
l=6 or l=8
2l+2w=28
2(6)+2w=28
12+2w=28
2w=16
w=8
(6,8)
(8,6)
l^2+w^2=10^2
2w=28-2l
w=-l+14
l^2+(-l+14)(-l+14)=100
l^2+l^2-28l+196=100
2l^2-28l+96=0
2(l^2-14l+48)=0
2(l-6)(l-8)=0
l=6 or l=8
2l+2w=28
2(6)+2w=28
12+2w=28
2w=16
w=8
(6,8)
(8,6)