the scale used for a model of a kitchen is 1/4 inch equals 1 and 1/2 foot in the model the kitchen measures 2 and 1/2 inch by 3 inch what are the actual dimensions of the kitchen

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?