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Salsk061 [2.6K]
3 years ago
11

The length of a rectangle is 5 times the width. If the area is 500 square feet, then what is the length of the rectangle, in fee

t?
Mathematics
1 answer:
tester [92]3 years ago
8 0

Answer:

The length of the rectangle is 50 feet, while the width of the rectangle is 10 feet.

Step-by-step explanation:

Since the length of a rectangle is 5 times the width, to determine the length of the rectangle if the area is 500 square feet, the following calculation must be performed:

Area = Base x height

500 = X x 5X

500/5 = X x X

100 = X x X

100 = 10 x 10

X = 10

Thus, the length of the rectangle is 50 feet, while the width of the rectangle is 10 feet.

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Two gardens are being fenced in. Both gardens will require the same amount of fencing​ (both gardens have the same perimeter in​
Katyanochek1 [597]

Answer:

The side length of the square is 3 meters.

The side length of the triangle is 4 meters.

Step-by-step explanation:

This is basically a systems of equations word problem.

To solve this, we have to create two different equations. Let's assume s is the side length of the square and t is the side length of the triangle.

We can make the equation 4s=3t, since the perimeters are the same. (A square has 4 sides, a triangle has 3 - multiplying by the side length of each will get perimeter)

We also know that the side length of the triangle is 1 meter longer than the side length of the square, so the equation here becomes t = s+1.

Now, let's substitute the second equation (t = s+1) into the first (4s=3t).

4s = 3(s+1)

Apply the distributive property:

4s = 3s+3

Subtract 3s from both sides:

s=3

So the side length of the square is 3. We can now plug it into the equation t = s + 1 to find the side length of the triangle.

t = 3+1\\\\t=4

Hope this helped!

6 0
3 years ago
Please help!
Paladinen [302]

A turtle walks 7/8 mile in 50 minutes.

Convert 1 hour to minutes and you get 60 minutes.

50/60 = 5/6. The turtle walks 7/8 mile in 5/6 hour

\frac{\frac{7}{8} }{\frac{5}{6} } = 21/20

The turtle walks 21/20 or 1.05 miles per hour.

6 0
3 years ago
Read 2 more answers
How to find angle acb
Crazy boy [7]

Answer:

pls provide the diagram

4 0
4 years ago
What is the missing number(please show work if you can)
lesya692 [45]
1/10 = .1

__ x .1 = .0 49

__ =  .49

.049 divided by .1 = .49

Hope this helps c:
5 0
4 years ago
your brother 1/4 yor age.your sister is 8 years older than your brother.your sister is 12 years old.write and solve tan equation
nekit [7.7K]

Let <em>A</em> be your age, <em>B</em> be the age of your brother and <em>S</em> be the age of your sister.

Since your brother is 1/4 your age, then:

B=\frac{1}{4}A

Since your sister is 8 years older than your brother, then:

S=B+8

Since your sister is 12 years old, then:

S=12

Use the second equation to find your brother's age by plugging in <em>S=12</em>:

\begin{gathered} S=B+8 \\ \Rightarrow12=B+8 \\ \Rightarrow B=12-8 \\ \therefore B=4 \end{gathered}

Plug in <em>B=4</em> in the first equation to find your age:

\begin{gathered} \frac{1}{4}A=B \\ \Rightarrow\frac{1}{4}A=4 \\ \Rightarrow A=4\times4\rbrack \\ \therefore A=16 \end{gathered}

Therefore, you are 16 years old.

4 0
1 year ago
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