The perimeter of a rectangle is 28 cm. The length is 10 cm longer than the width. What are the length and width of the rectangle

Let's say ...

The length = x

The width = y

Perimeter is 28 cm, so ...

Equation 1

x+x+y+y=28

2x+2y=28

x+y=14

x=14-y

Length is 10 com longer than width, so ...

Equation 2

x-y=10

Substitute Equation 1 into Equation 2

x-y=10

14-y-y=10

-2y=-4

y=2

Substitute y=2 into Equation 1

x=14-y

=14-2

=12

Answer: Length=12 cm, Width=2 cm