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Question 1 A rectangle has its length (y) 1.5 metres more than its width (x). The value of the rectangle's area (A), in square metres, is half the value of its perimeter (P), in metres. Area = lengthxwidth. Perimeter = 2xlength + 2×width a From this information, write an equation for A and an equation for P - in terms of x and y. b Use the equations for A and P with the information given to express the relationship between A and P using only the variables x and y.

Question 1 A rectangle has its length (y) 1.5 metres more than its width (x). The value of the rectangle's area (A), in square metres, is half the value of its perimeter (P), in metres. Area = lengthxwidth. Perimeter = 2xlength + 2×width a From this information, write an equation for A and an equation for P - in terms of x and y. b Use the equations for A and P with the information given to express the relationship between A and P using only the variables x and y.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hence, calculate the values of x and y.
Transcribed Image Text:Hence, calculate the values of x and y.
Question 1 A rectangle has its length (y) 1.5 metres more than its width (x). The value of the rectangle's area (A), in square metres, is half the value of its perimeter (P), in metres. Area = lengthxwidth. Perimeter = 2xlength + 2xwidth a From this information, write an equation for A and an equation for P - in terms of x and y. b Use the equations for A and P with the information given to express the relationship between A and P using only the variables x and y.
Transcribed Image Text:Question 1 A rectangle has its length (y) 1.5 metres more than its width (x). The value of the rectangle's area (A), in square metres, is half the value of its perimeter (P), in metres. Area = lengthxwidth. Perimeter = 2xlength + 2xwidth a From this information, write an equation for A and an equation for P - in terms of x and y. b Use the equations for A and P with the information given to express the relationship between A and P using only the variables x and y.
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