A friend is building a dog pen with an area of 150 square feet. Each side must be at least 5 feet long.

1 answer:

6 0

The dog pen is most likely a rectangle. Area of a rectangle = length * width
a) possible dimension
150 / 5 = 30 ; length = 30 ; width = 5
150 / 7.5 = 20 ; length = 20 ; width = 7.5
150 / 10 = 15 ; length = 15 ; width = 10
150/ 12.5 = 12 ; length = 12.5 ; width = 10

b) maximum amount of fence. Compute for the perimeter.
P = 2(30 + 5) = 2(35) = 70
P = 2(20 + 7.5) = 2(27.5) = 55
P = 2(15 + 10) = 2(35) = 70
P = 2(12.5 + 12) = 2(24.5) = 49

MAXIMUM AMOUNT OF FENCE REQUIRED IS 70 FEET.

c) either: 30 by 5 or 15 by 10 dimension.

You might be interested in

Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number

lapo4ka [179]

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

8 0

2 years ago

In how many ways can six people sit in a six-passenger car?

nekit [7.7K]

Answer:

number of ways = 720

Step-by-step explanation:

The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then

number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720

Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.

5 0

3 years ago

How do you increase £480 by 7.5%

elena55 [62]

$\sf 480+ \frac{7,5*48\not0}{10\not0}= 480+ \frac{36\not0}{1\not0}=480+36=\boxed{\sf 516~\£}$