SOLUTION: The adjoining figure shows the location of four flower beds in a park. If the outer dimensions of the park are 34m x 28m and the inner dimensions are 24m x 18m, find the area of ea

Algebra ->  Surface-area -> SOLUTION: The adjoining figure shows the location of four flower beds in a park. If the outer dimensions of the park are 34m x 28m and the inner dimensions are 24m x 18m, find the area of ea      Log On


   



Question 1018200: The adjoining figure shows the location of four flower beds in a park. If the outer dimensions of the park are 34m x 28m and the inner dimensions are 24m x 18m, find the area of each flower bed. All flower beds have the same width.
image of the figure: http://imgur.com/qFDoDu2

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The uniform widths serve as "heights" of trapezoids.

One direction constrains the width of the flower beds to be %2828-18%29%2F2=5; and the other direction constrains the width to be %2834-24%29%2F2=5.

Two flower beds each have bases 28 and 18, with height of 5;
and two flower beds each have bases 34 and 24 with height of 5.

CALCULATE EACH FLOWER BED AREA
%28%2828%2B18%29%2F2%29%2A5 for each of the shorter flower beds;
%28%2834%2B24%29%2F2%295 for each of the longer flower beds areas.