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The perimeter of a square is 32 centimeters. What is the length of one side?

L= length of one side of the square
Ok so we know the perimeter is 32 cm. Perimeter is the sum of all the sides of a shape. Now all four sides of a square are the same length. That means 4*L=32.
Now that we have the equation 4*L=32, we need to find a number that when multiplied by four, equals 32. Since 4*8=32, we know the answer must be 8cm.

6 0

3 years ago

The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.

laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

(The "..." at the end of the decimal means that number is repeating)

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 $\frac{1}{3}$ , also written as 7.33...) by 2; this equals 3 $\frac{2}{3\\}$ , also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P $\frac{1}{2}$ - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

7 0

2 years ago

at 1200 hours in london it is 0400 hours in Los Angeles. What day and time is it in Los Angeles if it is 0630 hours on sunday in

Alja [10]

Monday 2330 hours is the answer

5 0

3 years ago

Let f(x)=x2+5x−36 . Enter the x-intercepts of the quadratic function in the boxes.

san4es73 [151]

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^2-5*x-(36)=0

Step by step solution: Step 1: Trying to factor by splitting the middle term

1.1 Factoring x2-5x-36

The first term is, x2 its coefficient is 1.
The middle term is, -5x its coefficient is - 5.
The last term, "the constant", is -36 

Step-1: Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2: Find two factors of -36 whose sum equals the coefficient of the middle term, which is - 5.

-36 + 1 = -35 -18 + 2 = -16 -12 + 3 = -9 -9 + 4 = -5 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
 x2 - 9x + 4x - 36

Step-4: Add up the first 2 terms, pulling out like factors :
 x • (x-9)
 Add up the last 2 terms, pulling out common factors :
 4 • (x-9)
Step-5: Add up the four terms of step 4 :
 (x+4) • (x-9)
 Which is the desired factorization

Equation at the end of step 1 : (x + 4) • (x - 9) = 0 Step 2 :Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : x+4 = 0

Subtract 4 from both sides of the equation :
 x = -4

Solving a Single Variable Equation :

2.3 Solve : x-9 = 0

Add 9 to both sides of the equation :
 x = 9

6 0

3 years ago

Read 2 more answers

Which set of numbers could represent the lengths of the sides of a right triangle?

Degger [83]

Answer:

3,4,5

Step-by-step explanation:

Here, we want to select the set that could work and the sides of a right angled triangle

the correct answer is 3,4,5

These set are called a Pythagorean triple

This is because adding the square of the two smaller number will give the square of the largest number

What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set

8 0

2 years ago