The length of a new rectangular playing field is 7 yards longer than triple the width. If the perimeter of the rectangular playing field is 438 ​yards, what are its​ dimensions?

Answers

Answer 1

Explanation:

L = 7+ 3W

the perimeter = 438

2(L+W) = 438

by using substitution :

2(7+3W+W) = 438

2(4W+7) = 438

4W+7 = 438/2

4W+7 = 219

4W = 219-7

4W = 212

W = 212/4 = 53

L = 7 + 3(53)

L = 7 + 159 = 166

so, the dimensions : the length = 166 yards

and the width = 53 yards

Answer 2

L = 7+ 3W

the perimeter = 438

2(L+W) = 438

by using substitution :

2(7+3W+W) = 438

2(4W+7) = 438

4W+7 = 438/2

4W+7 = 219

4W = 219-7

4W = 212

W = 212/4 = 53

L = 7 + 3(53)

L = 7 + 159 = 166

so, the dimensions : the length = 166 yards

and the width = 53 yards

What is the area of rectangular field?

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

2*4w +2*7 = 438       {Use distributive property}

8w + 14 = 438          {Subtract 14 from both side}

8w = 438 - 14

8w = 424          {Divide both sides by 8}

w = 424/8

w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

The length and width of another rectangular field with same perimeter but a larger area is 80 m by 70 m.The perimeter of the existing field is

2(l + b)

= 2(90 + 60) = 2(150) = 300 yards

So we want another field having the same perimeter but a larger area.

Therefore, L = 7+ 3W

the perimeter = 438

2(L+W) = 438

by using substitution :

2(7+3W+W) = 438

2(4W+7) = 438

4W+7 = 438/2

4W+7 = 219

4W = 219-7

4W = 212

Learn more about length on:

https://brainly.com/question/15056202

#SPJ2


Related Questions

translate this sentence into an equation. The sum of 20 and gails score is 54. Use variable g to represent gails score

Answers

20 + g = 54

if u want it solved,

20 + g = 54

g = 54 - 20

g = 34

The table shows the types of information collected by a store regarding customer purchases. Which of the following data could be used in a geographical information system (GIS) to increase sales?

Answers

A geographical information system (GIS) is an information system that is used to manage data. They are also used to create and organize data. The total transaction amount can be used by the GIS to increase sales

From the attached table, we have the following data:

Zip code areaNumber of customersNumber of transactionsTotal transaction amountAmount per transaction

The usage of each data is as follows:

The zip code can be used to determine the region of the customers.

The number of customers and the number of transactions can be used to determine the rate of transactions per customer

We observe that, the total transaction amount is the product of the number of transactions and the amount per transaction.

This means that the total transaction amount is a summary of two other columns which deals directly with sales.

Information about total transaction amount can then be used independently to determine, predict and increase the sales of the store.

Read more about geographical information system (GIS) at:

https://brainly.com/question/2314688

¿crees que en pleno siglo xx1 los derechos de los niños, niñas y adolescentes se siguen vulnerando?¿porque?

Answers

Answer:

??????

Explanation:

i can't know this language

separated people based on the color of their skin.
2. I thought science would be uninteresting today, but the idea of
studying plant and animal cells
my attention.
3. "Please be a good
for your younger brother,"
reminded my mom. "He learns by watching your behavior."
4. It is a true Type here
that people would be treated bett
worce denending on the color of their skin

Answers

4 is the one that makes the most sense i think

x + 2x + 3x + 4x + 5x = 10 . Find x

Answers

Answer:

2/3

Explanation:

x + 2x + 3x + 4x + 5x = 10

=> 15x = 10

=> x = 10/15

=> x = 2/3

According to Buddha, what is the “disease” of life?

Answers

Answer: Desire

Buddha believed that suffering was caused by any form of desire or craving

I hope this somewhat helped :)
Other Questions
A company that makes barber scissors has found that the sales volume for barber scissors is directly proportional to the size of the sales force and inversely proportional to the price of the scissors. If 19440 pairs were sold in 2003, when there were 54 salespeople and the price was $20 a pair, what is the sales forecast for the upcoming year with 50 salespeople and a price of $18 a pair? 7. The larynx is also called theO A. throat.O B. trachea.O C. voice box.O D. pharynx. HELP! Fill in the blanks: The net charge of an atom is equal to the difference between the_____in the atom's nucleus and the_____ why are there three zeros in the product of 6 times 103 help!! this is math. In 2004 a certain oil company spent sh 1740000 on crude oil import .This was a 20%increase 0ver the money on crude oil import in 2003. a) How much did the company spend on crude oil import in 2003. b)What was the difference in the money spent on crude oil import in the two years? What roles does the society have to solve the problems? HELP ASAP!! THIS IS SLOPE INTERCEPT FORM AND I HAVE NO IDEA HOW TO TO DO PLEASE EXPLAIN answer the following Solve it please with its explaination WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:True or False-in scientific notation when you move the decimal point left is it positive. What does x equal?2x + 5x 4= 17 what activities should you do to make our nation prosperous 1. A leftward force is used to pull a large wagon. In the wagon there is an unknown massthat makes it very difficult to move, but a force applied is able to set the wagon intoconstant motion. Let the force applied to the wagon and its unknown mass be 77.3 N. Thecoefficient of friction between the wagon's wheels and the floor is 0.011. Determine themass of the wagon if it was empty.i. Let's say that the unknown mass in the wagon is 95.5% * mass of thewagon. What is the weight of the wagon when its empty and what is theweight of the unknown mass? The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7 8w-2=12w+6 both answers The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft deep,what is the length of the pool Which is the most logical response to the following question?A ustedes les gusta la msica clsica?A. S, nos encanta.B. S, me gusta mucho.C. S, nos gustan.D. No, no les gusta. por que un globo con aire se agranda al sol y se achica en la heladera