The perimeter of a rectangle is 30 ft. The length is 1 ft longer than the width. Find the dimensions. Write a system of linear equations and solve the resulting systems. Let x be the length and y be the width.
Write the first equation.
2x+2y=______
write the second equation,
x=y+______
What is the length____ft.
What is the width____ft.

Question

The perimeter of a rectangle is 30 ft. The length is 1 ft longer than the width. Find the dimensions. Write a system of linear equations and solve the resulting systems. Let x be the length and y be the width.
Write the first equation.
2x+2y=______
write the second equation,
x=y+______
What is the length____ft.
What is the width____ft.

anonymous · Answer

A/Q,
2x+2y=30...(given)
x=y+1
on simplification ,we get,
x+y=15
x-y=1
thus solving the above two equations
2x=16
or x=8
y=7
thus, length=8ft and width=7ft :)