Question

The diagram represents a flower border that is 3 feet wide surrounding a rectangular sitting area. Write an expression in factored form that represents the area of the flower border.

Answer 1

Answer:

3* (36 - 5x)

Step-by-step explanation:

The total area of the flower garden is equal to the surface of the rectangle that encloses the flowers border and the sitting area minus the area of the sitting area.

Rectangle area

Three flower segments height ----  9  feet

4 flower segments length  ----------- 12 feet

Rectangle area = 12*9 ft^2  = 108 ft^2

Sitting area

Sitting area = 3x*5 = 15x

Area of the flower border (A_flwb)

A_flwb = 108 ft^2 - 15x = 3* (36 - 5x)