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
AleksandrR [38]
3 years ago
6

The width of a rectangle is 2 units less than the length. The area of the rectangle is 63 units. What is the length, in units, o

f the rectangle?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer: Length = 9 units

Step-by-step explanation:

Let L represent the length of the rectangle.

The width of a rectangle is 2 units less than the length. It means that the width of the rectangle is (L - 2) units.

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

Area = length × width

The area of the rectangle is 63 units. It means that

L(L - 2) = 63

L² - 2L = 63

L² - 2L - 63 = 0

L² + 7L - 9L - 63 = 0

L(L + 7) - 9(L + 7) = 0

L - 9 = 0 or L + 7 = 0

L = 9 or L = - 7

Since the length cannot be negative, then

L = 9 units

Width = 9 - 2 = 7 units

You might be interested in
Write an expression to represent: Eight more than the product of two and a number x.
boyakko [2]

Answer:

2x+8

Step-by-step explanation:

The number is x

product of two and a number x

2x

Eight more than

2x+8

3 0
3 years ago
Read 2 more answers
ABCD rhombus, AC:BD = 4:3 Perimeter ABCD = 20 cm Find: Area of ABCD
AlladinOne [14]
Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:
length=20/4=5 cm
the ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:
AC=4x and BD=3x
using Pythagorean theorem, the length of one side of the rhombus will be:
c^2=a^2+b^2
substituting our values we get:
5²=(2x)²+(1.5x)²
25=4x²+2.25x²
25=6.25x²
x²=4
x=2
hence the length of the diagonals will be:
AC=4x=4×2=8 cm
BD=3x=3×2=6 cm
Hence the area of the rhombus wll be:
Area=1/2(AC×BD)
=1/2×8×6
=24 cm²
6 0
3 years ago
IM IN A TEST PLEASE HELP ASAP WILL MARK BRAINLIEST OR WHATEVER
Hitman42 [59]
R=3
105-84=7r
21/7=3
r=3
4 0
3 years ago
Read 2 more answers
What is 2 3/8 in a improper fraction?
FromTheMoon [43]

Answer:

See below a shorter way to convert 2 3 8 to an improper fraction. Step 1: Multiply the whole number part (2) by the denominator (8). Step 2: Add the product from Step 1 (16) to the numerator (3). Step 3: Write that result (19) above the denominator.

Step-by-step explanation:

hope this helps you if it does plz mark brainiest

4 0
3 years ago
Read 2 more answers
Marco buys a certain brand of shampoo for a supplier $7.25 per bottle he sells it to his customers at a makeup 25% what would th
SCORPION-xisa [38]

Answer:

Markup= 1.81

Sale price =9.06

Step-by-step explanation:

The markup is the original prices times the markup rate

markup = 7.25 * 25%

            = 7.25 * .25

             =1.8125

We round this to the nearest cent

           =1.81

The new sale price will be the original price + the markup

7.25+1.81

9.06

3 0
3 years ago
Read 2 more answers
Other questions:
  • You are traveling at 75 mph on a straight stretch of highway in Nevada it is noon when will you arrive at the next town 120 mile
    8·1 answer
  • Answer and explanation please?? #6
    6·2 answers
  • Please need some help on this
    8·2 answers
  • A1 = 5 and d = 5 find the 25th term
    9·1 answer
  • Find the midpoint of each given points <br> (4,6),(1,5)
    10·2 answers
  • Importance of statistics is
    9·2 answers
  • The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an unde
    13·1 answer
  • If m = 2 2/5, what is the value of 5(m + 2)? 20 2/5, 3/5 ,9 2/5 ,22
    11·1 answer
  • Help please I don’t get it
    10·2 answers
  • Two people bought gas .Each gallon of gas cost the same amount.The money that they spend in dollars is represented by the expres
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!