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?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Hint: Some equations with more than one unknown can be solved since we know the solutions
contains values which must be integers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11d9adce-31d3-450e-a738-16d52e01b365%2F4dcc3a3e-0580-4f1c-9c54-2c31164a68b3%2Ft5lutm_processed.jpeg&w=3840&q=75)
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.
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11d9adce-31d3-450e-a738-16d52e01b365%2F4dcc3a3e-0580-4f1c-9c54-2c31164a68b3%2Fga08r5u_processed.jpeg&w=3840&q=75)
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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