The
Pythagorean Theorem can be used to find the angle. Since 122
+ 92 = 152, the angle must be 9Oo.
The
total area of the garden is 114 square feet, so each of the 19 plots
is 6 square feet.
The
ratio of the area of the triangle to the area of the rectangle is
9:10. This suggests that the triangle will contain 9 of the plots;
the rectangle, 10.
The
triangle can be divided into 4 congruent right triangles. This suggests
that the shape of each of the 19 plots will be a triangle.
Solution
Note:
the rectangular area could also consist of 10 rectangular plots, 4 ft
by 1.5 ft. 2 ft by 3 ft. and so on.