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
For the function y = x + 4, what is the output value if 3 is the input value?
Leya [2.2K]
According to the data given above; x= 3..

y=x+4
y=3+4
y=7
7 0
3 years ago
How is subtracting an expression similar to distributing -1
algol [13]
When you subtract you are taking away a number but also when you distribute -1 to a number it will take away 1 (because it’s negative) :-) hope this made sense!
5 0
3 years ago
DG's Plumbing and Heating charges $50 plus $75 per hour for emergency service. Bill remembers being billed just over $300 for an
Flura [38]

Answer:

3.33 hours

Step-by-step explanation:

Take the total bill minus the flat charge. ($300 - $50 = $250)

Then take that amount and divide by the charge per hour.

($250/$75) = 3.33 hours

4 0
3 years ago
Read 2 more answers
What is the equation in point slope form of the line that goes through the points (-4,-2) and(-6,16)
Stels [109]

Answer:

16-(-2)/ -6-(-4)= 18/-2=   -9

Step-by-step explanation:

y2-y1/ x2-x1

6 0
3 years ago
Easton is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Easton
Hunter-Best [27]

Answer:

2+3y=21

x=2y

Step-by-step explanation:

Each two point shot scores 2 points, so xx two point shots would score 2x points. Each three point shot scores 3 points, so y three point shots would score 3y points. Therefore, the total number of points scored 2x+3yy equals 21

Since Easton scored twice as many two point shots as three point shots, he made more two point shots, so if we multiply 2 by the number of three point shots made, we will get the number of two point shots made, meaning x equals 2y

7 0
3 years ago
Other questions:
  • In the rhombus angle 1=40 what is angles 2 and 3
    13·1 answer
  • It cost $660 to put on the sschool play.How many tickets must be sold at $6 apiece in order to make a profit?
    7·1 answer
  • What is the Value of 15 divided by 5/9​
    15·1 answer
  • ABCD is a trapezium with AB= x cm, DC=( x+ 4 )cm and the distance between the parallel sides AB and DC is 1/2 x cm
    11·1 answer
  • Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
    13·2 answers
  • Keesha has 24 beads to add equally to each bag . Can she still make 6 bags and have no supplies left over.
    10·1 answer
  • Can somebody please show me how to do this problem .
    15·1 answer
  • Please help me!!! I will try to mark brainliest if the answer is correct!
    6·1 answer
  • Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transfor
    7·1 answer
  • Help me like right know
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!