The total fencing around a square field is 80 yards. The field has an area of how many square yards?

2 answers:

7 0

The side length of the square is 1/4 of its perimeter, so is 20 yards. The area of the square is the square of its side length, so is (20 yd)² = 400 yd².

Karolina [17]4 years ago

4 0

ANSWER

The field has an area of
$400 \: square \: yards$

EXPLANATION

The total fencing around a square field gives the total distance around the square field.

The total fencing around the field being
$80$
yards means, the perimeter is 80 yards.

Recall that the perimeter of a square is given by the formula,

$perimeter = 4l$

This implies that,

$80 = 4l$

We divide both sides by 4 to get,

$\frac{80}{4} = l$

This implies that
$l = 20 \: units$

We now obtain the area of the square by using the formula,

$A rea= {l}^{2}$
$A rea= {(20)}^{2} = 400 \: \: square \: \: yards$

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How many complex zeros does the polynomial function have? f(x)=−3x^6−2x^4+5x+6

REY [17]

one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have

it goes like this:

for a polynomial with real coefients, consider $f(x)=-3x^6-2x^4+5x+6$ .

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root

to get the negative roots, we evaluate f(-x) and see how many times the root changes

$f(-x)=-3x^6-2x^4-5x+6$