Which statement about the possible designs is true, given
the owner's requirements?
a shoe store owner is designing the layout of the displays
in his store. the floor area for the store is 1,600 square
feet. the owner wants to have circular displays for the
shoes, each with a radius of 6 feet, and a 48-square-foot
rectangular cashier's station in the corner. customers
should be able to easily walk around the shoe displays, so
there must be at least a 4-foot walkway around each. the
owner started drawing the layout shown.
the distance between grid lines is 4 feet.
three circular displays can be placed in one row,
exactly as shown on the given grid.
two circular displays can be placed so they are each
the same distance from the cashier's station
the maximum number of circular displays that can be
used is 4
the maximum number of circular displays that can be
used is 5.
a
display
display
display
com

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?