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
AVprozaik [17]
3 years ago
15

The length of a rectangle is 5 more than the width. Find the length and width of a rectangle if the area of the rectangle is 36

inches.
Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

Answer:

width = 4 in

length = 9 in

Step-by-step explanation:

To solve this problem, write an expression for the length and use the area of a rectangle formula.

The formula for area of a triangle is A = lw

"A" is the area.

"l" is the length.

"w" is the width.

"The length of a rectangle is 5 more than the width". It is represented in an expression:

l = w + 5     The width plus 5 is the length.

We also know the area is 36 in². Using information we know, replace variables in the formula for area of a rectangle.

Substitute l = w + 5 and A = 36

A = lw

36 = (w + 5)w     Expand by multiplying w by the terms in the brackets.

36 = w² + 5w      Since the equation is quadratic, make it equate to 0.

36 - 36 = w² + 5w - 36   Subtract 36 from both sides

0 = w² + 5w - 36      Factor this. Use group factoring, which is when you replace the middle term (5w) with two terms that add to make 5w, and multiply to get the last term (-36).

0 = w² + 9w - 4w - 36      9w times -4w is -36. They also add to get 5w.

0 = (w² + 9w) + (-4w - 36)  Group the factors

0 = w(w + 9) + -4(w + 9)   Take out the common factor in each group.

0 = w(w + 9) + -4(w + 9)   Take out the new common factor binomial w+9

0 = (w + 9) (w - 4)    Fully factored equation.

w + 9 = 0       w - 4 = 0    Set each binomial to equal 0.

     w = -9            w = 4   Chose what makes sense to be the width.

The width cannot be a negative number, so the width is 4.

Since we know the width, we can find the length because the length is 5 more than the width.

l = w + 5

l = 4 + 5

l = 9      Length of the rectangle

Don't forget to include the units, inches.

Therefore the length is 9 inches and the width is 4 inches.

You might be interested in
Given that f(x)=2x+2 evaluate f(1)+f(5)
Svetlanka [38]

Answer:

16

Step-by-step explanation:

To solve this, you need to evaluate the function at f(1), which just means that you have to plug in 1 for any x you see in the equation. For example, here f(1) = 2(1) + 2 which simplifies to 4. Next find f(5). By doing the same process you will find that this is 12. The problem asks for f(1) + f(5) so by putting those values in you will get 4+12=16. Hope this helps! :)

8 0
3 years ago
Read 2 more answers
What is the value of 10 to the 6 power. A.10 B.600 C.1,000,000 D.6,000,000
Korolek [52]
The answer is C. 1,000,000
3 0
3 years ago
Could someone please answer my few questions? That'd be great! I'll give 20 points!!!
Alex Ar [27]
Y=3.6x is direct variation. The constant is 3.6
8y=2x is the same as y=0.25x. It is direct variation, and the constant is 0.25

1. Assuming "dinners made" is on the y-axis, DV is y=2x. The constant is 2

2. This is not direct variation, and therefore does not have a constant of variation
4 0
3 years ago
55 more than a number is twenty.
Mrac [35]

Answer:-35

Step-by-step explanation:

To find 55 more a number equal to 20

We get

Let the number b y

55 more than the number

We be

y+55=20

y=20-55

y=-35

7 0
3 years ago
Hello everyone! Please help me choose the right answer to this question! Help would be really appreciated!
never [62]
Well if your equation is 9=-2/3x-y, you’ll have to make it into y=Mx+b form first so subtract 9 from both sides and add y from both sides. your equation should be y=-2/3x-9. therefore you’re answer is 4.
7 0
3 years ago
Other questions:
  • 27 millimeters multiplied by 1 cm/10 mm
    8·1 answer
  • Algebra
    7·1 answer
  • How would you write the proportion 9:36
    8·2 answers
  • The question <br> Najheheggebbsbv nhsygenbs
    14·1 answer
  • Which is equivalent to 12(323)?
    9·2 answers
  • The area, a, of a square whose side length is n
    9·1 answer
  • If a△ b=a2+ab−b2, then find (3 △ 2) △ 13. WILL MARK BRAINLIEST PLS HELP!!!!!!!!!!!!!!!!!!!!
    10·2 answers
  • In a probability experiment Eric flipped a coin 30 times the coin landed on heads 20 times what is the ratio of heads to tails i
    5·2 answers
  • At a pizza shop, customers can select either crispy crust (C) or deep crust (D). Suppose that two customers place an order and s
    7·1 answer
  • If f(x) = -x-2, what is f¹(x)?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!