Question

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

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
`441ft`

Explanation:

From the question we are told that:

Perimeter
`P=60ft`

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
`A_g` is mathematically given by

`A_l=X*Y`

Where

`X=9\\Y=9`

Therefore

`A_l=X*Y`

`A_l=9*9`

`A_l=81ft`

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

`A_g=X*Y`

Where

`X=21\\Y=21`

Therefore

`A_g=X*Y`

`A_g=21*21`

`A_g=441ft`