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
GenaCL600 [577]
3 years ago
10

A rectangle or piece of paper has a width is 3 inches less than its link it is cut in half along a diagonal to create two congru

ent right triangles with areas of 44 in.²
Mathematics
1 answer:
kolezko [41]3 years ago
3 0

The length and width of the rectangle is 11 in and 8 in respectively.

Step-by-step explanation:

Given,

The width of a rectangle is 3 in less than the length.

The area of each congruent right angle triangle = 44 in²

To find the length and width of the rectangle.

Formula

The area of a triangle with b base and h as height = \frac{1}{2}bh

Now,

Let, the width = x and the length = x+3.

Here, for the triangle, width will be its base and length will be its height.

According to the problem,

\frac{1}{2}×(x+3)×x = 44

or, x^{2} +3x = 88

or,x^{2} +3x-88 = 0

or, x^{2}+(11-8)x-88 = 0

or, x^{2}+11x-8x-88 =0

or, x(x+11)-8(x+11) = 0

or, (x+11)(x-8) = 0

So, x = 8 ( x≠-11, the length or width could no be negative)

Hence,

Width = 8 in and length = 8+3 = 11 in

You might be interested in
Your team catches 42 Mahi Mahi over 2 weeks. What is the average daily Mahi Mahi catch?
Hunter-Best [27]
2 weeks are 14 days so
42÷14= 3
7 0
2 years ago
A number divided by 58 is close to 30
AlexFokin [52]
The number could be <span>1843</span>
5 0
3 years ago
Read 2 more answers
Which proportion can be used to solve for f in the figure above?
kirill [66]

Answer:

You could use the Pythagnerum Theorem

Step-by-step explanation:

3 0
2 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Simplify the following expression: (52)^8
liberstina [14]

Answer: brainly.com/question/27247548?answeringSource=feedPublic%2FhomePage%2F6https://brainly.com/question/27247548?answeringSource=feedPublic%2FhomePage%2F6https://brainly.com/question/27247548?answeringSource=feedPublic%2FhomePage%2F6

4 0
2 years ago
Read 2 more answers
What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.
sammy [17]

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

4 0
2 years ago
Other questions:
  • Find the correct Multiplication statement: Take away nine sets<br> of 8 forks.
    7·1 answer
  • If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False
    5·1 answer
  • Point A(-58) is reflected across the line y = x. What are the coordinates of A? Show your work and explain
    10·1 answer
  • Idk how to do this what’s the answers plz
    11·2 answers
  • Rita offers to pay for 8 of her friends to play laser tag, but 3
    14·2 answers
  • Find the value of x in the figure.<br> 57°<br> (x+23)<br> X =
    7·2 answers
  • Helpp me please im confused
    10·1 answer
  • Plzzzz help... due tonight
    11·2 answers
  • 3. Which of the following equations represents a proportional relationship?
    14·2 answers
  • 15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!