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
Rama09 [41]
3 years ago
13

A parallelogram has a base of length 2x + 1 and a height of x + 3 and has an area of

Mathematics
2 answers:
storchak [24]3 years ago
7 0

Answer:

  • base 7
  • height 6

Step-by-step explanation:

Using the given expressions, we can write the area as ...

  A = BH

  42 = (2x +1)(x +3) = 2x^2 +7x +3

  2x ^2 +7x -39 = 0

  (x -3)(2x +13) = 0

  x = 3   or   -6.5  . . . . .  these values make the factors be zero

In order for the parallelogram to have positive dimensions, the value of x must be 3. So, the base and height are ...

  base = 2(3) +1 = 7

  height = 3 +3 = 6

worty [1.4K]3 years ago
4 0

Answer: height = 6 units

Base = 7 units

Step-by-step explanation:

The formula for determining the area of a parallelogram is expressed as

Area = BH

B = 2x + 1

H = x + 3

If area = 42 square units, then

(2x + 1)(x + 3) = 42

2x² + 6x + x + 3 = 42

2x² + 7x + 3 - 42 = 0

2x² + 7x - 39 = 0

2x² + 13x - 6x - 39 = 0

x(2x + 13) - 3(2x + 13) = 0

x - 3 = 0 or 2x + 13 = 0

x = 3 or x = - 13/2 = - 6.5

Since x cannot be negative, then x = 3

Therefore,

Base = 2x + 1 = 2 × 3 + 1 = 7 units

Height = x + 3 = 3 + 3 = 6 units

You might be interested in
I will brian list you please help
Shtirlitz [24]

Answer:

.......the answer is C)

7 0
3 years ago
Read 2 more answers
2. Select all ratios that are equivalent to 3:18.<br> 21:126<br> 6:36<br> 1:6<br> 1:18<br> 15<br> 21
mafiozo [28]

Answer:

21:126

6:36

1:6

Step-by-step explanation:

5 0
3 years ago
Factorize 5r⁸t⁵ - 3r⁴t⁴​
Wewaii [24]

Factor r 4 t 4 out of 5 r 8 t 5 − 3 r 4 t 4 . r 4 t 4 ( 5 r 4 t − 3 )

7 0
2 years ago
Mrs Moore’s and Mrs. Ruiz’s classes are competing for the best scores on their math test. Use the box plots below to answer ques
Elan Coil [88]

Answer:

Where are the box plots?? I need it to answer the question.

3 0
3 years ago
Read 2 more answers
Identify the postulate that proves the triangles are congruent.
Ratling [72]

Answer:

ASA

Step-by-step explanation:

Triangle ABD is congruent to triangle BDC by ASA because angle B in ABD  is 30 degrees. Then they give you BD which equals BD by the reflexive property. And finally angle D in ABD is also 30 degrees. In triangle BCD, angle B is 30 degrees, BD = BD, and angle D in BCD is 30 degress. So we have an angle (B), side (BD), and another angle (D)

6 0
3 years ago
Other questions:
  • Another Rocket
    9·1 answer
  • Scientific notation of 53010000
    7·1 answer
  • Which expression is equvialent to 2x2 + (4x-6x2) + 9 - (6x+3)?
    5·1 answer
  • Write the equation of the line that contains slope of 4 and a coordinate of (3,11)
    10·1 answer
  • Or is it d). 792 in^2
    11·1 answer
  • Chris has a loan for $4200 at a rate of 8% annually. How much interest will he pay in 6 years?
    9·2 answers
  • What is the volume of the cube? 2 1/2<br>​
    13·1 answer
  • Please help me asap!!!
    12·2 answers
  • Find the length DE of 6, 7 1, 7 3, 2 7,2 and 7, 4
    6·1 answer
  • Please help me please​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!