A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?

1 answer:

6 0

Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long

You might be interested in

Write 99÷12 as a decimal

gladu [14]

Answer:

8.25

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help with this so can someone please help me

slava [35]

9514 1404 393

Answer:

16x
-4x +4
8x +8
8x

Step-by-step explanation:

Like terms are ones with the same variable (or set of variables). Here, any x-terms are "like" terms. They are combined by adding their coefficients.

4x +4x +4x +4x = x(4+4+4+4) = 16x

-7x +4 +3x = x(-7+3) +4 = -4x +4

3x +5x +8 = x(3+5) +8 = 8x +8

4x +4x = x(4+4) = 8x

3 0

3 years ago

6) 2(n + 5) = -2<br> help i wasn’t paying attention in my google meet

bonufazy [111]

Answer: the answer is -6

2(n+5) = -2

2n + 10 = -2

2n = -2 - 10

2n = -12

2n *1/2 = -12 * 1/2 = -6

n = -6

5 0

3 years ago

Read 2 more answers

2,10,18,26 find the 61st term

saw5 [17]

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

$a_{n} =a_{1} +(n-1)d$

Where $a_{1}$ is the first term, $a_{n}$ is the nth term, and $d$ is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do $10-2$ , which is $8$ , or the common difference. Since we have everything we need, it can be plugged into the equation: