SOLUTION: Urban Planning: You have just planted a rectangular flowere bed of red roses in a park near your home. You want to plant a border of yellow roses around the flower bed as show.

Algebra ->  Rectangles -> SOLUTION: Urban Planning: You have just planted a rectangular flowere bed of red roses in a park near your home. You want to plant a border of yellow roses around the flower bed as show.       Log On


   

Question 64763This question is from textbook McDougal Littell, Algebra II
: Urban Planning: You have just planted a rectangular flowere bed of red roses in a park near your home. You want to plant a border of yellow roses around the flower bed as show. Since you bought the same number of red and yellow roses, the areas of the border and inner flower bed will be equal. What shoud the width X of the border be? rectangle is 12 x 8 with double x at each corner,(total 8x) This question is from textbook McDougal Littell, Algebra II

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure what the double x at the corners means.
The garden bed is 12 * 8 so it contains 96 roses.
A one rose border will use 12+12 (on the sides)+ 8+8 (on the ends)+4 on the corners for 44 extra roses. The garden bed is now 14 x 10 roses in size.
A second rose border is planted around the garden. It will use 14+14 (on the sides)+ 10+10 (on the ends)+4 on the corners for 52 extra roses.
A rose border two roses wide will use 44 + 52 = 96 roses.