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
dalvyx [7]
3 years ago
10

The length of the rectangle is 8 cm greater than its width find the dimensions of the rectangle if it's area is 105cm^2

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0
<h2>Greetings!</h2>

Answer:

Width = 7

Length = 15

Step-by-step explanation:

Let x be the width value:

Because the length is 8cm bigger than the width(x), this can be shown by:

Length = x + 8

If you recall the equation for the area of a rectangle:

Area = length x width

Simply plug the known values in:

105 = (x + 8) * x

(x * x) + (8 * x) = 105

x² + 8x = 105

Move the +105 to the other side making it a -105, meaning that this is now a quadratic:

x² + 8x - 105 = 0

Factorise this:

(x + 15) ( x - 7)

So x = -15 or x = 7

X has to be 7 because you cannot have a negative measurement.

This means that:

The width = 7

And the length = 7 + 8 = 15


<h2>Hope this helps!</h2>
You might be interested in
Indicate whether or not each system of equation is constant and constant or dependent
zheka24 [161]
If a system has at least one solution, it is said to be consistent .

If a consistent system has an infinite number of solutions, it is dependent 

8 0
3 years ago
If the volume is 343in cubed than what is the length of one side
love history [14]

the answer would be seven because seven to the 3rd power is 343 and cubed means that number multiplied by itself three times please mark braineist answer!


8 0
3 years ago
HELP!!! I NEED THIS DONE ASAP!
GarryVolchara [31]
20 and 7 Because 4x5 = 20
6 0
3 years ago
Read 2 more answers
An excellent swimmer is confident he can judge his speed in the water exactly. He bets he can swim two lengths of a 50-meter Oly
Salsk061 [2.6K]
The time needed at 2 meters per second for both rounds would be 100/2 s or 50 seconds. For the first lane he already used 50/1.5 -> 33.33 seconds, so he would need to cover the other 50 meters in exactly 16.67. 50m divided by the 16.67 seconds he has left means he has to swim at a speed of 3 meters per second.
6 0
3 years ago
Twelve dogs and cats receive 77 biscuits.
Andrews [41]

Answer:

6 dogs are there who ate the biscuits

8 0
3 years ago
Read 2 more answers
Other questions:
  • A line contains the point (0,-2 ) if the slip of the line is me = -6 NEED HELP EXPLAINNNN
    13·1 answer
  • Partial products of 328 times69
    10·2 answers
  • On a rectangular coordinate plane, a circle centered at (0, 0) is inscribed within a square with adjacent vertices at (0, -2√) a
    15·1 answer
  • Which equation has no solution?
    5·1 answer
  • What’s the simplified expression for the expression below 7(x - 4) - 3(x + 5)
    15·1 answer
  • Jacob distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He als
    13·2 answers
  • What is the unit price of a granola bar if 8 granola bars cost $4.16 And show your work
    5·1 answer
  • Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.
    6·1 answer
  • Consider this figure. 11 1/2 in 10 in 20 in​
    11·1 answer
  • Classify the triangle as acute, right, or obtuse and classify it as equilateral, isoceles, or scalene.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!