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
lesya692 [45]
2 years ago
15

A rectangle is 6 feet long and 4 feet wide. If each dimension is increased by the same number of feet, a new rectangle is formed

whose area is 39 square feet more than the area of the original rectangle. By how many feet was each dimension increased?​
Mathematics
1 answer:
Fofino [41]2 years ago
5 0

Answer:

Each dimension increased by 3 ft.

Step-by-step explanation:

Area of the original rectangle = 4 * 6 = 24 square feet

Increased dimension = x ft

New length = 6 + x

New width = 4 +x

New area = (6 + x)(4 +x)    {Use FOIL method}

                = 6*4 + 6*x + x*4 + x*x

                = 24 + 6x + 4x + x²

                = x² + 10x + 24

New area = 24 + 39

x² + 10x + 24 = 63

x² +10x + 24 - 63 = 0

x² + 10x  - 39 = 0

x² + 13x - 3x  - 3*13 = 0

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

(x + 13)(x -3) = 0   {Ignore x + 13, as it gives negative value}

x - 3 = 0

x = 3

You might be interested in
Every 4 hours a machine produces 12 baskets what is the unit rate
tatyana61 [14]

Answer:

Step-by-step explanation:

3 hours per basket

8 0
2 years ago
Read 2 more answers
Which number will have the same result when rounded to the nearest ten or hundred A-97 B-118and5 C-179 D-5091
slamgirl [31]
Lets round it to the nearest ten
A 97 ====> 100
B 118 ===> 120
C 179 ===> 180
D 5091 ==> 5090
No result yet, lets round to the nearest hindred.
A 97 ====> 100
B 118 ===> 100
C 179 ===> 180
D 5091 ==> 5100
As we can see only A give the same result when we round it to the nearest hundred and nearest ten.

5 0
3 years ago
Let B=[-1 3 6 -3].Find-4B.
vaieri [72.5K]

The product of a scalar and a matrix is found by multiplying each element of the matrix by the scalar. Multiply each element by -4.

... [4 -12 -24 12]

4 0
3 years ago
8. What is the solution to the system?<br> { x + y + z = 3<br> 2x-y + 2z = 6<br> 3x + 2y - Z=13
pogonyaev

Answer:

x,y, and z is 4,0, -1

8 0
3 years ago
What is 2.13 times 0.197
irina [24]

Answer:

0.41961

Step-by-step explanation:

Line the numbers up, multiply, move the decimal five times to the left.

4 0
3 years ago
Other questions:
  • Sarah wrote that (3^5)^7 = 3^12. Correct her mistake. Write an exponential expression using a base of 3 and exponents of 5,7,12
    7·2 answers
  • A rectangular prism has a volume of 32 cm3. If all measurements of the prism are multiplied by 4, what is the new volume?
    8·1 answer
  • Zoe made 5 1/2 cups of trail mix. She wants to divide the mix into 3/4 cup servings. Ten people are going on the trip. Can Zoe m
    14·1 answer
  • Is square meters a type of surface area
    14·1 answer
  • If f(x)=16x-30 and g(x)=14x-6 for which value of x does (f-g)(x)=0
    6·1 answer
  • The word ‘over’ is to show a fraction btw<br>10 over x-4 = 6
    5·1 answer
  • A number cube is rolled. What is the likelihood that a number less than or equal to three is rolled?
    8·1 answer
  • Find the unit rate.<br> 180 miles in 3 hours
    11·1 answer
  • What is the 158th term of the sequence 8,6,4..?
    5·1 answer
  • Let k(w)= w+3/w+9. Find k^-1(-4)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!