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
lozanna [386]
3 years ago
9

A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 20 square feet. Find the

length of the rectangle.
Please show your work So i can learn it
Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

Length = 5 feet

Step-by-step explanation:

The formula for finding the area of a rectangle is:

Area = Length x Width

The problem said that the width is 1 foot shorter than the length. This can be shown like this:

Width = (Length - 1)

Going back to our formula for finding area, we can replace Width with (Length - 1). We can also put 20 as the area since the problem already told us that the area of the rectangle is 20 square feet. By now, your equation should look similar to this:

Area = Length x Width

Area = Length x (Length - 1)

20 = Length x (Length - 1)

Now, we can go on to figuring out what the length is. For now, the length is going to be referred to as ' x '.

20 = Length x (Length - 1)

20 = (x)(x - 1)

*Distribute x to (x - 1)*

20 = x² - x

*This is beginning to look like a quadratic equation. Let's move all of the terms over to one side.*

20 = x² - x

0 = x² - x - 20

*It would appear that we need to factor this equation to get our answer.*

x² - x - 20

This would be the factored version of our equation because the factors -4 and 5 give us a product of -1 but also give us a sum of -1.

(x - 5) (x + 4)

From here, our options are narrowed down to 5 and -4. As we know, lengths cannot be real which means...

Length = 5 feet

~Hope this helps!)

You might be interested in
Write the equation of a line that is perpendicular to the given line that passes through the given point.
ipn [44]
<h2>Answer:</h2>

First we must find the opposite-reciprocal of the original slope.

current slope: \frac{7}{3}

new slope: -\frac{3}{7}

Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.

9 = -\frac{3}{7}(-4) + b\\\\9 = \frac{12}{7} + b\\\\-\frac{51}{7} = b

The y-intercept is -\frac{51}{7}.

Now, we can write the formula for the new line.

Slope-intercept form: y = -\frac{3}{7}x - \frac{51}{7}

Point-slope form: y - 9 = -\frac{3}{7}(x + 4)

3 0
3 years ago
Why should you avoid investing all your money in familiar stocks
Romashka [77]

Answer:

because you wouldn't want to lose your money plus it will be difficult to get your money back so you shouldn't spend all your money in stocks

6 0
3 years ago
7 1/3 ∙ x = 1.6 ÷ 6/11<br><br> x = __ <br><br> Please Help!
ANTONII [103]

Answer:

x= 0.4

Step-by-step explanation:

We need to solve and find the value of x

7 1/3x = 1.6 ÷ 6/11

Converting mixed fraction into improper fraction

22/3 x = 1.6 ÷ 6/11

Converting ÷ sign by X and reciprocating the term

22/3 x = 1.6 * 11/6

Now divide both sides by 3/22

x = 1.6 * 11/6 * 3/22

x = 1.6 * 1/2 * 1/2

x = 1.6/4

x = 0.4

S0, x= 0.4

7 0
3 years ago
What is angle A in the following equation?
Lostsunrise [7]

Answer:

55 i think

Step-by-step explanation:

6 0
3 years ago
F(x) =2x-5 and g(x) =x+52 find f(g(x)
irga5000 [103]
If f(x) = 2x - 5 and g(x) = x + 52, then f(g(x)) can be deduced by placing g(x) in the spot of x in the f(x) equation as follows:

f(g(x)) = 2(g(x)) - 5

Since we know g(x) = x + 52, let's plug it in:

f(g(x)) = 2(x + 52) - 5
f(g(x)) = 2x + 104 - 5
f(g(x)) = 2x + 99
4 0
3 years ago
Read 2 more answers
Other questions:
  • a hawk soars at an altitude of 1800 feet. If the hawk descends to the ground and 45 min, what is its vertical speed?
    12·1 answer
  • PLEASE HEP ME ANSWER THIS REALLY HARD QUESTION
    11·1 answer
  • the diagram shows a circle inside a square. the circle has a radius of 6cm. the square has a side of 12cm . work out the shaded
    6·2 answers
  • A cube consists of twenty-seven 2×2×2-inch small cubes. All four of the corner cubes on the edge of the top layer fell off. Whic
    9·2 answers
  • A.22<br> B.68<br> C.118<br> D.119
    8·1 answer
  • The scores on a tester normally distributed with a mean of 70 and a standard deviation of 14 what is the score of that is two st
    10·1 answer
  • Helpppppp mathhh failing
    15·1 answer
  • HELP ASAP PLSSS
    14·1 answer
  • What is (4)^-2? Please help I don't understand the topic and I need all the help I can get!
    14·2 answers
  • HELP PLEASE ANSWER..
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!