Mr Graham bought a 2-room flat in Sembawang. The floor plan can be modelled as five rectangles as shown below.

1. ((a))

   Calculate the total floor area of Mr Graham's kitchen.

2. ((b))

   The optimal kitchen cabinets' height, including the counter top, is calculated based on the concept of ergonomics. Ergonomics is the process of designing products that fit the people who use them.

   Using the diagram as reference, kitchen cabinet designers view that optimal cabinet height should be the distance between one's elbow and the ground, with 10 cm allowance for elbow movement.

   The diagram below shows a drawing of Mrs Graham whose height is 168 cm.

   Calculate the range of optimal kitchen cabinets' heights, including the counter top, for Mrs Graham.

   Answer ... cm

   
3. ((c))

   Mr Graham plans to install a combination of kitchen cabinets along the L-shaped shaded area in the kitchen.

   In the combination, he requires one of the cabinets to have a sink, a corner cabinet and at least one of the other cabinets to have wire basket shelves.
   He wants to customise the height of the cabinets to suit Mrs Graham's height.
   He also wishes to install a counter top for the top of the cabinet, considering to use either granite, ceramic or acrylic as its material.
   He has a budget of $2200 to purchase the kitchen cabinets and L-shaped counter top.
   Using the information in the tables given on the next page and your answer in (b), propose a possible combination that will best suit Mr Graham's requirements that will optimise storage and space while maximising the use of his budget.

   Answer