Problema Solution

The perimeter of a rectangle is 26ft. The length is 9 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.

Write the first equation

2x + 2y = 26

Write the second equation

x = y + 9

what is the length? __ft.

what is the width? __ft.

Answer provided by our tutors

2x+2y=26

x=y+9

substituting second equation in the first gives us

2y+18+2y=26 => 4y = 8 => y = 2

=> x = 2+9 = 11

what is the length? 11__ft.

what is the width? _2_ft.