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
RSB [31]
3 years ago
15

The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b

y 30m^2. Find the area of the original rectangle.

Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

  • 2(x +y) = 36 . . . . the perimeter is 36 m
  • (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area

The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

  xy +y +2x + 2 -xy = 30

  2x +y = 28 . . . . . . . subtract 2

Dividing the first equation by 2 gives

  x +y = 18

and subtracting this from the above equation gives ...

  (2x +y) -(x +y) = 28 -18

  x = 10

Then

  y = 18 -10 = 8

The area of the original rectangle is xy = 10·8 = 80 m^2.

You might be interested in
Please help me im being timed
Lady bird [3.3K]
When in doubt pick c
5 0
3 years ago
Read 2 more answers
What is the value of x in the equation −6 + x = −5? 1, 11, −1, −11
goldfiish [28.3K]

Answer:

1 exactly iam genius

₩¥₩

4 0
2 years ago
Please help me with this problem..
IceJOKER [234]

Answer:

8

Step-by-step explanation:

The 110 degree angle is oppoiste to the angle across it.

Using PLT-C the other angle on the bottom of it should be 70 degrees.

since the 70 degrees is on a straight angle the angle beside it should 110

14(8)-2 = 110

5 0
2 years ago
Transform the equation 3x + y = 5 into slope-intercept form.
marin [14]

Answer: y=-3x+5

Step-by-step explanation:

Slope-intercept form is y=mx+b. So to make your equation into slope-intercept form, simply subtract 3x from both sides, which results in y=-3x+5

3 0
2 years ago
Read 2 more answers
What is the equation of a line that passes through the points (0,2) and (4,10)? Write your answer in slope-intercept form.
Vika [28.1K]

Answer:

y = -3x + 5

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • for a field trip 4 students rode in cars and the rest filled nine buses. how many students were in each bus if 472 students were
    13·2 answers
  • Lim of tan(x) as x approaches pi/2. It does not ask from either the + or - direction, just pi/2. The answer is 0, but i think it
    5·1 answer
  • What percent is 7.2 of 19.5
    15·2 answers
  • the computer lab at a high school ordered 26 packages of cd's . there were 50 cd's in each package. how many cd's did the comput
    13·1 answer
  • Plzzz help ASAP thank u
    14·1 answer
  • At a basketball game, a vender sold a combined total of 101 sodas and hot dogs. The number of sodas sold was 37 more than the nu
    11·1 answer
  • The display gives sale prices for 40 houses in Ames, Iowa sold during a recent month. The mean sale price was $203,388 with a st
    9·1 answer
  • 4(5c + 3) and 9c + 7 Is equivalent
    5·1 answer
  • Is there anyone that can help me with a test?
    9·1 answer
  • HELP PLEASE!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!