The perimeter of a rectangle is 146 cm. The width is 10 cm longer than twice the length. Find the width

Perimeter of a rectangle = 2L + 2W = 146

"width is 10 longer than twice the length"

translates to

W = 2L + 10

this can be rearranged to be

2L = W - 10

we can plug that into the first equation and get

(W - 10) + 2W = 146

add like terms

3W - 10 = 146

add 10 to both sides

3W = 156

divide both sides by 3

W = 52

therefore the width is 52 cm