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
ollegr [7]
2 years ago
13

A square is transformed into a rectangle by increasing the length by 8m and the width by 5m. If the area of the resulting rectan

gle is 108m^2, algebraically determine the length of each side of the original square.
Mathematics
1 answer:
faust18 [17]2 years ago
5 0

The length of each side of the original square is 4 m

<h3>How to calculate the area of a square?</h3>

A square each side x is transformed into a rectangle by increasing the length by 8 m. Thus, new length = x + 8

The new width increases by 5 m will be;

New width = x + 5

If the area of the resulting rectangle is 108 m², then we have;

(x + 5)(x + 8) = 108

x² + 13x + 40 = 108

x² + 13x - 68 = 0

x² + 17x - 4x - 68 = 0

x(x + 17) - 4(x + 17) = 0

(x + 17)(x - 4) = 0

x = 4 or -17

ignore negative

So side of square = 4 m

Read more about Area of Square at; brainly.com/question/24487155

#SPJ1

You might be interested in
What is the scientific notation of 8.77?
DedPeter [7]
8.77 x 10^1 i believe but would double check
3 0
3 years ago
Read 2 more answers
Please solve both of these questions
Alex

Answer:

jane will arrive at 3:41

Mira will arrive at 3:50

so the the difference in time is 9 minutes

—————-

The shaded area = Circle area - square area

circle area = 314

square area = 100

the the shaded area = 214

7 0
3 years ago
Simplify 3ab + 4ab + 5
adelina 88 [10]
7ab+5 is the simplest it can be 
4 0
4 years ago
Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion an
LUCKY_DIMON [66]

The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.

<h3>How to calculate the length?</h3>

From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.

The length will be calculated thus:

Cos 35° = 153/AC.

AC = 153/cos 35°

AC = 153/0.819

AC = 186.78 feet.

Therefore, the length is 186.78 feet.

Learn more about length on:

brainly.com/question/2217700

6 0
2 years ago
Find two positive numbers whose product is 36 and whose sum is a minimum.
alukav5142 [94]
Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2

The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.

If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
8 0
3 years ago
Other questions:
  • 83023007 expanded form
    9·1 answer
  • PLEASE HELP ITS DUE TODAY!!! What is the product of 1/2x-1/4 &amp; 5x^2-2x+6? Write your answer in standard form. (A) show your
    11·1 answer
  • 200 is 10 times as much as 20 true
    5·1 answer
  • Ayudenme porfavor el trabajo esta en el documento
    9·1 answer
  • A recycling box has a square base with sides measuring 18 inches. The box is 16 inches tall. What is the volume of the recycling
    7·1 answer
  • PLEASE HELP PROBLEM IN PHOTO!
    6·2 answers
  • If cscθ = 1 1/4, cosθ =<br><br> a. 3/4<br> b. 1 2/3<br> c. 3/5<br> d. 4/5
    6·1 answer
  • Please help :P<br><br> Marking as brainlist
    6·1 answer
  • Heellllloooooo plsss heellllpppp
    14·1 answer
  • Maria has a bank account balance of -$27.89. Her bank requires that she maintains a balance of at least +$30. How much must Mari
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!