SOLUTION: Find the dimensions of a rectangular Persian rug whose perimeter is 24 ft and whose area is 35f * t ^ 2

Question 1153352: Find the dimensions of a rectangular Persian rug whose perimeter is 24 ft and whose area is 35f * t ^ 2
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Logically, with the rectangle having an area of 35 square feet, and with the perimeter and area both being whole numbers, the probable dimensions of the rug are 5 feet by 7 feet -- and those dimensions give the correct perimeter of 24 feet.

With formal algebra....

Solve the second equation for either variable and substitute in the first equation:

or

The dimensions of the rug are x=7 and (12-x) = 5.

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