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

Answers

Answer 1

Answer:

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 $(1)/(3)$ , also written as 7.33...) by 2; this equals 3 $(2)/(3\n)$ , 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 $(1)/(2)$ - 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

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Answers

Answer: 4 and 1/6

Step-by-step explanation: First, let's understand why this is an improper fraction. An improper fraction is a fraction whose numerator is greater than its denominator. Since 25 is greater than 6, we know we are dealing with an improper fraction. Improper fractions represent values that are greater than 1.

To write an improper fraction as a mixed number, divide the denominator into the numerator. So here we have 6 divided into 25

6 divides into 25 4 times, 4 x 6 is 24 and 25 - 24 is 1.

So 6 divides into 25 1 time with a remainder of 1

So we have 4 wholes and 1 out of 6 parts or 4 and 1/6.

Answer:

4 1/6.

Step-by-step explanation:

25 / 6 = 4 remainder 1

The 1 is now placed over the divisor (6).

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Answers

Opposite angles are equal:

4y-8=79+y

4y-y=79+8

3y=87

y=87/3

y=29

right triangle has an angle whose measure is 35 degrees what is the measure of the third angle in Triangle

Answers

The third angle is 55 degrees
90+35=125
125-35=55

A plane flew 1,000 miles away from London for one flight. For the next flight, it flew 500 miles toward London. How far was the plane from London after the second flight?

Answers

So, It First Flew 1000 Miles Away. So, It Is Positive 1000 Miles. Now, It Flew 500 Miles Closer, So Negative (closer) Distance. So, Add. 1000+(-500)
Adding Negative Is The Same As Subtracting So, 1000-500 = The Distance.
So, The Distance Away Is 500 Miles.

Answer:

500 miles

Step-by-step explanation:

Hope this helps!

Meena sells apple pies at the farmers market. She charges $12 for each pie. It costs her $5 to make each pie, and there is a $35 fee she must pay each week to have a booth at the market.Write and solve an inequality to find the number of pies Meena must sell each week in order to make a profit.

Answers

12x - 5x > 35 ; Meena must sell more than 5 pies each week to make a profit.

Where sales 12x less costs 5x is greater than $35.

12x - 5x   > 35
  7x > 35
÷7   ÷ 7
x > 5

To check:

Let x be 6; it is greater than 5.

12x - 5x   > 35
12(6) - 5(6) > 35
72 - 30 > 35
42 > 35

The answer to your question is 12x - 5x > 35.

Meena must sell more than 5 pies each week to make a profit.

What is the value of 7x-2x+3 when x= 5 ?

Answers

28 because 7 times 5 is 35 and 2 times 5 is ten so you have 35-10 which is 25 plus 3 which is 28

7x-2x+3x
Plug in the 5
7(5)-2(5)+3(5)
35-10+15
25+15
the answer is 10

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