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
SOVA2 [1]
3 years ago
10

A rectangle is twice as long as it is wide. If its length and width are both

Mathematics
1 answer:
puteri [66]3 years ago
5 0

Answer:

a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle

Step-by-step explanation:

Let l = the original length of the original rectangle

Let w = the original width of the original rectangle

From the description of the problem, we can construct the following two equations

l=2*w (Equation #1)

(l+4)*(w+4)=l*w+88 (Equation #2)

Substitute equation #1 into equation #2

(2w+4)*(w+4)=(2w*w)+88

2w^2+4w+8w+16=2w^2+88

collect like terms on the same side of the equation

2w^2+2w^2 +12w+16-88=0

4w^2+12w-72=0

Since 4 is afactor of each term, divide both sides of the equation by 4

w^2+3w-18=0

The quadratic equation can be factored into (w+6)*(w-3)=0

Therefore w=-6 or w=3

w=-6 can be rejected because the length of a rectangle can't be negative so

w=3 and from equation #1 l=2*w=2*3=6

I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.

You might be interested in
Solve the equation <br> (If possible please show work)
hram777 [196]

Answer:

x=2

Step-by-step explanation:

1+4x=7+x

↦4x-x=7-1

↦3x=6

↦x=6/3

↦x=2

.°. x=2

Hope you understand it

6 0
3 years ago
Read 2 more answers
What is the area of the shaded sector?<br> 24pi<br> 45pi<br> 72pi<br> 576pi
pentagon [3]

Answer:72 pi

Step-by-step explanation:

just did the question.

7 0
3 years ago
Whats the decimal that is equivalent to 1/15
riadik2000 [5.3K]
0.0666666666 is the answer. Hope this helps! Please mark Brainliest!


-Belle<span>
</span>
7 0
3 years ago
Read 2 more answers
Decrease 50 by 60% please
Whitepunk [10]

Answer:

50, percentage decreased by 60% (percent) of its value = 20

Step-by-step explanation:

8 0
3 years ago
Need help ASAP !!!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B26548%20%5Ctimes%2026548%7D%20" id="TexFormula1" title=
miskamm [114]

Answer:

√{26548×26548}=√26548²=±26548

6 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ME ILL GIVE BRANLIEST!!! (and 50 points!)
    7·1 answer
  • Simplify the expression
    11·2 answers
  • 6. -2x - 1.4 = 6 + 3x
    12·1 answer
  • A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teacher
    5·2 answers
  • Eight times the difference of 2 and a number.
    11·1 answer
  • "6 pencils and 5 pens together cost ₹ 56". express this situation as linear equation in two variables​
    13·1 answer
  • A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10 days.
    7·1 answer
  • Level 1<br> A B C D<br> 1<br> 3<br> 2<br> 4<br><br> Enter the correct 4 digit code (no spaces) *
    12·1 answer
  • lance placed $5,200 in an investment account with a 6.5% interest rate. After how many years will he double his initial investme
    15·1 answer
  • Angle 3 and 4 are supplementary angles if m 4=100^0 and m 3=(11x)^0 find the value of x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!