Gardenia, Marguerite, Azalea, and Violet just moved into a new neighbourhood. Each says that she has the largest garden, but it is so hard to tell! The following diagram shows the shape and size of each garden and any other objects on the properties.
A composite shape is composed of four shapes: three triangles and one rectangle.
One triangle is labelled "Gardenia’s garden". A dashed line is drawn from a vertex of the triangle to the base of the triangle meeting the base at a right angle. The dashed line is marked as 8 metres long and divides the base into two pieces: a 12 metre piece and a 6 metre piece.
Two right-angled triangles labelled "Azalea’s garden" and "Marguerite’s Garden" are placed side by side with their heights of 16 metres lining up. The base of "Azalea’s garden" is 9 metres long and the two bases of these triangles together line up exactly with the base of "Gardenia’s garden". Each of the two triangles contains a 3 metres by 3 metres shaded square labelled "shed".
A rectangle with dimensions 10 metres by 8 metres is labelled "Violet’s garden". A 1.5 metre by 1.5 metre square in the middle of the rectangle is shaded and labelled "water tank".
