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
klasskru [66]
2 years ago
13

the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and so

lve a system of equations to find the dimensions of the rectangle.​

Mathematics
1 answer:
stiv31 [10]2 years ago
4 0

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

\qquad \sf  \dashrightarrow \:2(l + w)  = 56

\qquad \sf  \dashrightarrow \:2(3x + 8 + x)  = 56

\qquad \sf  \dashrightarrow \:2(4x + 8)  = 56

\qquad \sf  \dashrightarrow \:4x + 8  = 56 \div 2

\qquad \sf  \dashrightarrow \:4x + 8  = 28

\qquad \sf  \dashrightarrow \:4x  = 28 - 8

\qquad \sf  \dashrightarrow \:x = 20\div 4

\qquad \sf  \dashrightarrow \:x =5 \: cm

Hence, width = x = 5 cm

\qquad \sf  \dashrightarrow \:l = 3w + 8

\qquad \sf  \dashrightarrow \:l = 3(5)+ 8

\qquad \sf  \dashrightarrow \:l = 15+ 8

\qquad \sf  \dashrightarrow \:l =23 \:cm

And, length = 26 cm

You might be interested in
I need help with this problem
kicyunya [14]
Y=-3 because -12 divided by 4 is -3
8 0
3 years ago
Read 2 more answers
14-2(3p+1)=6(4+p) what is the solution
Nataly [62]

Answer:

p= -1

Step-by-step explanation:

14-6p-2=24+6p

12-12p=24

-12p=12

p=-1

7 0
3 years ago
Solve each inequality. Then compare the solutions.<br><br> 3x +4&gt; 16<br> - 2x + 19&lt; 11
Makovka662 [10]

Answer:

3x + 4 > 16 \\ 3x > 16 - 4 \\  \frac{3x}{3}  >  \frac{12}{3}  \\ x > 4 \\  \\  - 2x + 19 < 11 \\  - 2x < 11 - 19 \\  - 2x <  - 8 \\  \frac{ - 2x}{ - 2}  >   \frac{ - 8}{   - 2}  \\ x > 4 \\  \\ comparing \\ 4 < x > 4

7 0
3 years ago
A triangle has angles measuring 43° and 62°. What is the measure of the triangle's third angle?
jarptica [38.1K]

Answer:

75 degrees

Step-by-step explanation:

I know the measure of the triangle's third angle is 75 degrees because all the angles of a triangle add up to 180 degrees. So, I did 180-62-43 and got 75. So, in order for this triangle to be true, the third triangle would have to be 75 degrees.

To check: 43 degrees+ 62 degrees+ 75 degrees = 180 degrees.

4 0
3 years ago
Read 2 more answers
The driveway measuring 280 ft.² is to be paved john has an apprentice working for him and divide the child between the two of th
Furkat [3]

Answer:

Step-by-step explanation:

It would be 40

7 0
3 years ago
Other questions:
  • An airplane is flying at 35000 feet above sea level. The airplane starts to descend at a rate of 2500 feet per minute. Let m be
    7·1 answer
  • Help Please?? 12. Of the following, which one is an observational study? A. Asking hearing-impaired people to try a new style of
    13·2 answers
  • Please help with this I'm not sure how to answer it
    5·1 answer
  • To make 5 dinner rolls, 1/3 cup of flour is used. how many cups of flour are needed to make 3 dozen dinner rolls?
    13·1 answer
  • Can some one please help me with this problem
    15·1 answer
  • The perimeter of a rectangular garden is 78 feet. The width is 11 feet shorter than the length. Write an equation to find the di
    10·2 answers
  • Please use Distribution
    14·1 answer
  • G(x) = (x + 2)<br> d(x) = (x + 2) - 3<br> Describe the transformation preformed on each function
    15·2 answers
  • 16/4 x 11/5<br><br> what is this answer ?
    7·2 answers
  • Rob's Refrigerator Repair uses the equation y = 39.50x + 75 to calculate the total charge, y, in dollars, for x hours of work. W
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!