Question

Express the area of the entire rectangle. Your answer should be a polynomial in standard form. An area model for a rectangle that has a height of x plus two and a width of x plus nine. The rectangle is broken into four rectangles to isolate each term in the height and the width. The top left rectangle has a height of x and a width of x. The top right rectangle has a height of x and width of nine. The bottom left rectangle has a height of two and a width of x. The bottom right rectangle has a height of two and a width of nine. An area model for a rectangle that has a height of x plus two and a width of x plus nine. The rectangle is broken into four rectangles to isolate each term in the height and the width. The top left rectangle has a height of x and a width of x. The top right rectangle has a height of x and width of nine. The bottom left rectangle has a height of two and a width of x. The bottom right rectangle has a height of two and a width of nine. \text{Area} =Area=start text, A, r, e, a, end text, equals

Answer 1

Answer: he area of the entire rectangle is the sum of the areas of the four rectangles.

Area of the top left rectangle: x * x = x^2

Area of the top right rectangle: x * 9 = 9x

Area of the bottom left rectangle: 2 * x = 2x

Area of the bottom right rectangle: 2 * 9 = 18

Total area: x^2 + 9x + 2x + 18

Simplifying and arranging in standard form:

Area = x^2 + 11x + 18

Explanation: