Question

A garden consists of a rectangular sitting region surrounded by a flower border. The sitting region has a length of 3x feet and a width of 5 feet. The flower border is 3 feet wide. Write an expression, in factored form, that represents the area of the flower border. Hurry!!

Answer 1

The area of the sitting region is 3x * 5 = 15x square feet.
The perimeter of the sitting region is 2 * (3x + 5) = 6x + 10 feet.
Since the width of the flower border is 3 feet and it surrounds the sitting region, so the total area of the flower border is (perimeter of sitting region) * 3 feet = (6x + 10) * 3 = 18x + 30 square feet.
The expression for the area of the flower border in factored form is 18x + 30.

Answer 2

Answer: 3* (36 - 5x)

Explanation:

The total area of the flower garden is equal to the surface of the rectangle that encloses the flower's 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)

Explanation: