Question

Simon has a certain length of fencing to enclose a rectangular area. The function AAA models the rectangle's area (in square meters) as a function of its width (in meters).

Which of these statements are true?

Choose all answers that apply:

Choose all answers that apply:


(Choice A)

A

Greater width always relates to smaller area.


(Choice B)

B

Greater width relates to smaller area as long as the width is less than 10\text{ m}10 m10, start text, space, m, end text.


(Choice C)

C

When there is no width, the area is 20\text{ m}^220 m

2

20, start text, space, m, end text, squared.


(Choice D)

D

When there is no width, the area is 0\text{ m}^20 m

2

0, start text, space, m, end text, squared.

Answer 1

When there is no width, the area is 0m²

Explanation:

Expressing the area of a rectangle as a function of its width:

Area of a rectangle = Length * width

Since the area of rectangle is related to the width by the multiplication operatkr. We can conclude from the options given that ; if the value of width = 0 ; the the area of rectangular plot = 0

When x :

Area = Length * width

Area = Length * 0

Area = 0

Area = Length * 0

Aea = 0