Question

A rectangle has an area of 24 cm2 Function f gives the length of the rectangle, in centimeters, when the width is w cm. Determine if each value, in centimeters, is a possible input of the function. A 0.5 B 48 C 0 D -6 E 3 0.5 0.5

Answer 1

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

If w = 0.5, then f = 24/0.5 = 48cm. So, it is a possible input of the function.

If w = 48, then f = 24/48 = 0.5cm. So, it is a possible input of the function.

If w = 0, then f = 24/0 = 0cm. So, it is not a possible input of the function as it cannot be defined

If w = -6, then f = 24/-6= -4cm. So, it is not a possible input of the function as a length and width can't be negative

If w = 3, then f = 24/3 = 8cm. So, it is a possible input of the function.

Answer 2

The possible input of the function are: A 0.5,  B 48 and E. 3  

Area of rectangle= length x breadth

f= length of the rectangle

w= width of the rectangle

We have possible input of the function.

A. 0.5    B. 48    C. 0   .D -6   E. 3

• If w = 0.5, then f =  $\frac{24}{0.5}$ = 48cm. So, it is a possible input of the function.

• If w = 48, then f = $\frac{24}{48}$ = 0.5cm. So, it is a possible input of the function.

• If w = 0, then f = $\frac{24}{0}$ = not defined . So, it is not a possible input of the function as it cannot be defined

• If w = -6, then f = $\frac{24}{-6}$ = -4cm. So, it is not a possible input of the function as a length and width can't be negative

• If w = 3, then f =$\frac{24}{3}$ = 8cm. So, it is a possible input of the function.

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