A building has 13 smaller units of identical dimensions of rectangular shape and 5 larger units having identical dimensions and whose shapes are perfect squares. The area of a larger unit is larger than the area of a smaller unit. Each dimension of each unit is an integer (in units of feet) which is larger than 2 ft. The sum of the area of all 18 units is 14,383 ft. What are the dimensions of the smaller and larger units?
A building has 13 smaller units of identical dimensions of rectangular shape and 5 larger units having identical dimensions and whose shapes are perfect squares. The area of a larger unit is larger than the area of a smaller unit. Each dimension of each unit is an integer (in units of feet) which is larger than 2 ft. The sum of the area of all 18 units is 14,383 ft. What are the dimensions of the smaller and larger units?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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Transcribed Image Text:Hint: Some equations with more than one unknown can be solved since we know the solutions
contains values which must be integers.
Transcribed Image Text:A building has 13 smaller units of identical
dimensions of rectangular shape and 5 larger units
having identical dimensions and whose shapes are
perfect squares. The area of a larger unit is larger
than the area of a smaller unit. Each dimension of
each unit is an integer (in units of feet) which is
larger than 2 ft. The sum of the area of all 18 units
is 14,383 ft?. What are the dimensions of the
smaller and larger units?
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