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
stiv31 [10]
3 years ago
9

The length of a rectangle is three times it's width. If the width is diminished by 1 m and length is increased by 3 m, the area

of the rectangle that is formed is 72 m². Find the dimensions of the original rectangle.
Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer: the length is 15 m and the width is 5 m

Step-by-step explanation:

Let L represent the original length of the rectangle.

Let W represent the original width of the rectangle.

The length of a rectangle is three times it's width. This means that

L = 3W

If the width is diminished by 1 m and length is increased by 3 m, the area of the rectangle that is formed is 72 m². This means that

(L + 3)(W - 1) = 72

LW - L + 3W - 3 - 72 = 72 + 3

LW - L + 3W = 75 - - - - -- - - - - - 1

Substituting L = 3W into equation 1, it becomes

3W × W - 3W + 3W = 75

3W² = 75

W² = 75/3 = 25

W = √25 = ±5

The width cannot be negative. Therefore, the width is 5 m

L = 3W = 3 × 5 = 15 m

You might be interested in
6d + 7 = 61 what does d equal?
zysi [14]

Answer:

i would reword this to 6x+7=61

Step-by-step explanation:

So.  

move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative

61-7=54

then you divide the number and get your missing numbers

54/6=9

d=9

plug it in

6(9)+7=61

5 0
3 years ago
Read 2 more answers
To cover a rectangle region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. W
gulaghasi [49]
We know that the perimeter of a rectangle is 2(width)+2(length). We can multiply the length by 2 to find out how much remaining fencing we have, then divide that number by 2 to find the width.

15.5*2=31
170.5-31=139.5
139.5/2=69.75

A possible width is 69.75 feet.
4 0
3 years ago
tessa is on the track team. for practise and exersise, she runs 2.25 miles each day. at the end of 14 days, how many total miles
astra-53 [7]
31.5 miles

If she runs 2.25 miles/day and she runs 14 days, you multiply 14*2.25
5 0
3 years ago
What does <br> f(x) – g(x) =
andrezito [222]

Answer:

(f - g) (x)

Step-by-step explanation:

Since (x) is common between them, you can bring it out. for example,

f(x) = x +1

g(x) = 2x + 3

f(x) - g(x) = x + 1 - 2x + 3

= -x + 4

(f - g) (x) = x + 1 - 2x + 3

= -x + 4

3 0
3 years ago
Read 2 more answers
r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t
Lubov Fominskaja [6]

Answer: 37.07

because 35.7+1.37 is 37.07

5 0
3 years ago
Other questions:
  • you are making curtains by alternating strips of solid colored fabric and patterned fabric. the solid colored fabric costs 99¢ p
    7·1 answer
  • Subtract. What is the difference (9 * 10"") - (4 * 10 ") in scientific
    15·1 answer
  • x2y - 2xy - 24y = y(x2 - 2x - 24) What is the completely factored form of x2y – 2xy – 24y? (xy + 4)(x – 6) xy(x + 4)(x – 6) y(x
    12·2 answers
  • What is the base for the expression -6 to the power of 4
    13·1 answer
  • What is the scale factor of 8in=200mi?
    13·2 answers
  • At the beginning of 5th grade, Stephen was 48 inches tall. At the beginning of 8th grade he was 65 inches tall.
    9·2 answers
  • 10. Jim has only $100 to purchase balloons, hats, and cupcakes for a
    10·1 answer
  • Twenty-Eight plus what number equals forty one. What is it....
    15·2 answers
  • This is for imnotalexchill, imnotdanielchill, wolfgang21, iaintsusreally, and immagangstersike....
    5·2 answers
  • During an election year, why would a senator want to determine a mode?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!