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
Zepler [3.9K]
3 years ago
7

Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

Length = 3

Width = 7

Step-by-step explanation:

The perimeter is 20 feet

The area is 21 feet

Let x represent the length

Let y represent the width

20 = 2(x+y)

x+y= 20/2

x+y = 10.........equation 1

x × y= 21......equation 2

From equation 1

x= 10-y

Substitute 10-y for x in equation 2

(10-y)y= 21

10y - y^2 = 21

y^2 -10y + 21= 0

After factorization the result will be

(x-3)(y-7)

x-3= 0

x= 0+3

x= 3

y-7= 0

y= 0+7

y= 7

Hence the length is 3 and the width is 7

You might be interested in
Choose the option that correctly completes the statement.
Tresset [83]

The answer is:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

8 0
3 years ago
Using the distributive property to find the product (y — 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y
klio [65]
I got a =16.
Hope this helps! :D
4 0
3 years ago
Read 2 more answers
Please help me!!!!!!!
Mila [183]

Answer:

I not sure this 76.5

Step-by-step explanation:

9cmx17cm=156/2=76.5

Then 76.5/2= 39

I hope this helpful for you.... Sorry....

5 0
3 years ago
What is the equation in a point-slope form of the line that passes through the point (-8, 5) and has a slope of 12?
Anton [14]

Answer:

y-5=12(x+8)

Step-by-step explanation:


4 0
3 years ago
In triangle MNP, m = 5 cm, n = 4 cm, and p = 8 cm. Which formula can you use to find P?
charle [14.2K]
Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option

Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)

In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find

Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)

Hope this helps :)
4 0
3 years ago
Read 2 more answers
Other questions:
  • How to do this!!! Help me ASAP!!!!
    14·1 answer
  • A square-based prism made of clay had dimensions of 6 by 6 by 10. A pyramid was removed from the prism so the prism has no top.
    12·1 answer
  • We're do I find a rate of change
    10·2 answers
  • Solve the system by substitution.<br> - 2x – 10y = -2<br> -4y = x
    8·1 answer
  • Why is it important to be able to represent functions as tables, graphs, algebraically, and verbally?
    5·1 answer
  • . What is the total cost of 6 books at N8.50k each?​
    11·1 answer
  • How does a number line help you compare numbers
    5·2 answers
  • HEEEEEEELLLLLLLPPPPPPPPPP PPPPPLLLLLLSSSSS
    10·2 answers
  • Match each expression to its equivalent expression.
    15·1 answer
  • 1. Is the average change in population is the same now as it was 50 years ago? Explain your answer.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!