-------------------------------------------------------- Find area of the border : -------------------------------------------------------- Area of the room = 22 x 25 = 550 ft² Area of the rug = 238 ft² Area of the border = 550 - 238 = 312 ft²
-------------------------------------------------------- Define y: -------------------------------------------------------- Let the width be y.
-------------------------------------------------------- Find area of the border in term of y : -------------------------------------------------------- The area of the border = 22y x 2 + 25y x 2 - 4y² = 94y - 4y² *We need to take away 4y² because the 4 corners will be overlap twice if we don't.
-------------------------------------------------------- Answer: The border can be 4 ft or 19.5 ft --------------------------------------------------------
I believe the correct answer is the second option. The correct despcription of the said figure would be a rectangle since from the choices it is the only shape where all angles are the same value which is 90. A kite can have different angles at each corner. A rhombus has two pairs of different angle measurements as well as a trapezoid.
