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]
