The perimeter of a rectangle is 26ft. The length is 7 ft longer than the width. Find the dimensions. Write a system of linear equations and solve the resulting system. Let x be the length and y be the width. 1st equation is 2x+2y=___. 2nd equation is x= y+___. What's the length_____ and width___?

Question

anonymous · Answer

1st equation : 2x + 2y = 26 (because perimeter is all the sides added together and is 26.)
2nd equation: x=y+7 (because length is 7ft longer than width)

Put x form second equation into the 1st eq.
2(y+7) + 2y =26
2y +14 +2y = 26
4y + 14 =26
4y = 12
y = 3
put this into 2nd eq.
x = y +7
x = 3 +7 =10

anonymous · Answer

It tells you that the length 'x' is 7 ft longer than the width 'y'.
So you can then form the equation x= y+7
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