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
Law Incorporation [45]
3 years ago
5

A rectangle is twice as long as it is wide. if its length is increase by 4 cm and its width is decreased by 3 cm, the new rectan

gle formed has an area of 100 cm2 . find the dimensions of the original rectangle.
Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
Now the width is w.
It's twice as long as wide, so now the length is 2w.

If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.

The are of the new rectangle is 100 cm^2.

area = length * width

area = (2w + 4)(w - 3)

The area of the new rectangle is 100, so we get

(2w + 4)((w - 3) = 100

2w^2 - 6w + 4w - 12 = 100

2w^2 - 2w - 112 = 0

w^2 - w - 56 = 0

(w - 8)(w + 7) = 0

w - 8 = 0   or   w + 7 = 0

w = 8   or   w = -7

A width cannot be negative, so discard w = -7.

w = 8

The width is 8 cm.
The length is twice the width, so the length is 16 cm.
You might be interested in
Helppppppppppp. Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
olga55 [171]

Answer:

7

Step-by-step explanation:

form a proportion

12/2=42/x

cross multiply

12x=84

x=7

6 0
3 years ago
Read 2 more answers
Which mixed number is equal to 27/6? 2 7/6 3 4/6 4 3/6 6 2/7
vredina [299]

Answer:

Expressed as a mixed number in its simplest form, 27/4 is equal

to 6 3/4 or six and three quarters.

Step-by-step explanation:

8 0
3 years ago
Can anyone help me? I need an exact answer, please no guesses. Thanks in advance
tia_tia [17]
45 degrees
160 - 115
6 0
3 years ago
Read 2 more answers
Seven less than twice a number is 5
marin [14]
Yes, i believe so because u can count back twice and u will get 5. You could al so do: 7-2=5. Hope this helps
8 0
3 years ago
X + 23 = 40 what does "x" equal??? PLz explain
vladimir1956 [14]
Hey there!

40 - 23 = 17

x = 17

Hope this helps
Have a great day (:
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to the equation Q=1/2p+15
    12·1 answer
  • Vector u has its initial point at (15, 22) and its terminal point at (5, -4). Vector v points in a direction opposite that of u,
    12·1 answer
  • Simplify the expression 4x+3(5y−x)
    6·2 answers
  • What is the prime factorization of 74
    11·1 answer
  • If Company X has 1600 employees and 80% of those employees have attended the warehouse training course how many employees have y
    12·1 answer
  • your distance from a lighting strike varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds
    11·1 answer
  • B.? What number is 1/4 of 100?​
    6·1 answer
  • Y=-4x-7, x+y=2 please help rn
    7·2 answers
  • Help me out on this question
    10·1 answer
  • The surface area of a cylinder is 1 m^2. What would its radius and hight be?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!