1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alex41 [277]
2 years ago
14

This question has three parts. Answer the parts in order.

Mathematics
1 answer:
nalin [4]2 years ago
3 0

Answer:

The area of the smallest section is A_{1}=100yd^{2}

The area of the largest section is A_{2}=625yd^{2}

The area of the remaining section is A_{3}=250yd^{2}

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

A_{1}=10yd*10yd

A_{1}=100yd^{2}

- Area of the second section:

A_{2}=x^{2} (Eq.1)

- Area of the third section:

A_{3}=width*length

A_{3}=10yd*x (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

A_{1}+A_{2}+A_{3}=975yd^{2}

Replacing values:

100+x^{2}+10x=975

Solving for x:

x^{2}+10x-875=0

x=\frac{-10+\sqrt{100+(4*875)}}{2}

x=\frac{-10+\sqrt{3600}}{2}

x=\frac{-10+60}{2}

x=25

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

A_{2}=25^{2}

A_{2}=625yd^{2}

- From Eq.2:

A_{3}=10*25

A_{3}=250yd^{2}

You might be interested in
Convert solar days into minutes​
Pepsi [2]

Answer:

1 Solar day = 86,400 seconds (SI Base Unit)

1 day = 1,440 minutes

Step-by-step explanation:

If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️

6 0
2 years ago
You install 638 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length
vovikov84 [41]

The length is 486

Step-by-step explanation:

638 subtract 152

6 0
2 years ago
I dont understand how to write this 2 problems out in equivalent form
deff fn [24]
Just do 1/8 times 1/8. Hope this helped !!
8 0
2 years ago
You received a 27 out of 30 on your test. What is your percent correct?
Oksana_A [137]

Answer:

90%

Step-by-step explanation:

divide - 27/30

6 0
2 years ago
Read 2 more answers
Penny reads 10 pages in 1/2
sveticcg [70]

Answer:

she would read 20 pages in 1 whole hour

7 0
2 years ago
Other questions:
  • An experiment was conducted, and it was determined that plants that received more than two hours of sunlight per day grew larger
    10·1 answer
  • Which two temperatures have a sum of 0 degrees Celsius?
    11·1 answer
  • Identify whether the problem is a percent increase or a percent decrease. Your $1000 investment earned 5% interest.
    13·1 answer
  • While drying, peach loses 11% of its weight. How much fresh peach is needed to get 7 3/25 lbs of dried peach?
    6·2 answers
  • Simpify the expression. -2(y + 3) -7y
    9·1 answer
  • write a variable expression that represents the word problem. gisele gave d dimes and n nickles to her brother. which expression
    7·1 answer
  • One winter, a group of students measured snowfall totals at their school. This chart shows how many inches of snow the students
    5·1 answer
  • 2. True help will be greatly appreciated, tricks or games will be reported; no links or websites or pdfs. Thanks!
    7·2 answers
  • Please help me with this
    15·2 answers
  • I’m too lazy to do all of this and I’m also a little confused on it, and I also have more hw besides this one, so ima need all t
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!