Question

Question One

Farmer Jones has 140 feet of fencing to construct a rectangular corral.

If x represents the width of the corral, which function can be used to express the area A of the

corral as a function of x?

A

A(x) = 70.0

B

A(z) = 2(70 - 2)

C

A(x) = a(140 – 2)

D

A(z) = x(140 – 22)

Answer 1

Answer:

$A(x)=x(70-x)$

Step-by-step explanation:

Let

x ----> the width of the rectangular corral

y ----> the length of the rectangular corral

we know that

The perimeter of the rectangular corral is equal to

$P=2(x+y)$

$P=140\ ft$

so

$140=2(x+y)$

simplify

$70=(x+y)$

$y=70-x$ ----> equation A

Remember that

The area of a rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(70-x)$

Convert to function notation

$A(x)=x(70-x)$