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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)
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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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: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?
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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