b. An engineering apprentice is given a rectangular sheet of metal of dimensions 500mm x 300mm. She is asked to cut out four identical squares, one in each corner of the sheet, fold up the sides and weld the corner seams to make a metal box. What should she make the length of the sides of the squares in order to maximise the volume? 30cm x 50 cm x

Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?

Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside measurements of his house are 80 ft by 35 ft. The driveway measures 30 ft by 20 ft. All shapes are rectangular. aWhat is the square footage of his yard that needs to be fertilized? bIf each bag of fertilizer covers 5000ft2, how many bags should Tom buy? cIf the fertilizer costs 18 per bag, what is his total cost?