Final answer:
To find the dimensions of the brand name television, divide the dimensions of the generic version (24 inches by 42 inches) by 0.75. The resulting dimensions of the brand name television are 32 inches by 56 inches.
Step-by-step explanation:
The student's question involves determining the dimensions of a brand name television based on the size of a generic version that is said to be three-fourths its size. To calculate the dimensions of the brand name television, we can divide the given dimensions of the generic television by the scale factor of 3/4 (or 0.75).
The width of the generic television is 24 inches. To find the brand name television's width:
Brand name TV width = Generic TV width / 0.75
Brand name TV width = 24 inches / 0.75
Brand name TV width = 32 inches (rounded to the nearest inch)
The height of the generic television is 42 inches. To find the brand name television's height:
Brand name TV height = Generic TV height / 0.75
Brand name TV height = 42 inches / 0.75
Brand name TV height = 56 inches (rounded to the nearest inch)
Therefore, the dimensions of the brand name television are 32 inches by 56 inches.