Mathematics High School

A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20

Answers

Answer 1

Complete Question

A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.

Answer:

he Area of the rug is greater than  but less than [tex]441ft[/tex]

Step-by-step explanation:

From the question we are told that:

Perimeter [tex]P=60ft[/tex]

Value Range:Between 10-20

Generally the Area of the rug is greater than for values of X and Y greater than 9

Therefore Area is greater than from whole number 9

Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by

[tex]A_l=X*Y[/tex]

Where

[tex]X=9\\Y=9[/tex]

Therefore

[tex]A_l=X*Y[/tex]

[tex]A_l=9*9[/tex]

[tex]A_l=81ft[/tex]

Generally the Area of the rug is less than for values of X and Y less than 21

Therefore Area is less than from whole number 21

Generally the equation for Area greater than A_l is mathematically given by

[tex]A_g=X*Y[/tex]

Where

[tex]X=21\\Y=21[/tex]

Therefore

[tex]A_g=X*Y[/tex]

[tex]A_g=21*21[/tex]

[tex]A_g=441ft[/tex]

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