Raymond wants to plow a garden that is 5 feet longer than it is wide and has a total perimeter of 170 feet. what are the dimensions of his new garden

If the Length is 5 feet longer than the width then we can say the width is X and the length is X+5. If the perimeter is 170 feet then we can calculate the perimeter as

X + (X+5) + X + (X+5) = 170 feet

2X+2 (X+5) = 170 feet

2X+2X+10=170 feet

4X+10=170 feet

4X=170 - 10 feet

4X=160

X=160/4

X=40

so the width of the garden is 40 feet and the length is 40+5=45 feet