171k views
2 votes
A rectangular garden has a 8 ft walkway around it. How many more feet is the outer perimeter of the walkway than the perimeter of the garden

User Robus
by
5.5k points

1 Answer

4 votes

check the picture below.


if the length of the inner perimeter is "y", and the width of the inner perimeter is "x", then the inner perimeter is x + x + y + y, or 2x + 2y.

now, the outer length and width are y+16 and x + 16, so the perimeter is (y+16)+(y+16)+(x+16)+(x+16), or 2x+2y+64. How many more feet is longer? well, notice.

A rectangular garden has a 8 ft walkway around it. How many more feet is the outer-example-1
User Jeremy Sullivan
by
5.1k points