Question

The area of a rectangular coffee table is given by the trinomial x^2-3x-40. What are the possible dimensions of the table? Find the perimeter.

Option 1: Length = 8 units, Width = 5 units, Perimeter = 26 units
Option 2: Length = 10 units, Width = 4 units, Perimeter = 28 units
Option 3: Length = 13 units, Width = 3 units, Perimeter = 32 units
Option 4: Length = 7 units, Width = 6 units, Perimeter = 26 units

Answer 1

The possible dimensions of the rectangular coffee table are length = 8 units and width = 5 units. The perimeter of the table is 26 units.

Step-by-step explanation:

To find the possible dimensions of the table, we need to factor the given trinomial, x^2-3x-40. The factors are (x-8)(x+5). So the possible dimensions of the table are length = 8 units and width = 5 units.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. Substituting the values in the formula, we get P = 2(8) + 2(5) = 16 + 10 = 26 units. Therefore, the correct option is Option 1: Length = 8 units, Width = 5 units, Perimeter = 26 units.