All categories

3 years ago

What is the area of a square pig pen that has a perimeter of 72 feet?

Mathematics

2 answers:

Xelga [282]3 years ago

8 0

Answer:

$\pmb{324~ft^{^{2}} }$

Step-by-step explanation:

As we know that,

Perimeter of a square is 4a

where,

a =side

so,

According to the question, 

perimeter of 72 feet

4a=72

a=72/4

a=18

Now we have to find the area.

as we know that,

Area of a square is a^2

where

a=side

Hence,

Area=18^2=324ft^2

Rom4ik [11]3 years ago

4 0

Answer:

324 ft^2

Step-by-step explanation:

P = 4s for a square where s = side length

72 = 4s

Divide each side by 4

72/4 = 4s/4

18 =s

The side length is 18

A = s^2 for a square

A = 18^2

A = 324 ft^2

You might be interested in

Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un

jonny [76]

Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

Probability of a low risk policy having a claim = 10% = 0.1

Actuary Toby examines high risk policy

Probability of a high risk policy having a claim = 20% = 0.2

Let the number of policies examined by actuary Rahul before he finds a claim and stop be n

Probability that actuary Rahul examines exactly n policies = $0.9^{n-1} (0.1)$

Probability that Toby examines more than n policies = $0.8^n$

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = $0.9^{n-1} (0.1) (0.8)^n$

probability that both events happen simultaneously = $\frac{0.1}{0.9} (0.72^{n})$

The probability that Actuary Rahul examines fewer policies that Actuary Toby = $\sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} }$ = $\frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )$