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grin007 [14]
3 years ago
11

Jim says that a 2 1/2 inche by 3 1/4 inch rectangle has a section that is 2 inches x 3 inches and a section that is 1/2 inch x 1

/4 inch.That means that area is just the sum of these two smaller areas, or 6 1/8 inches times 2 powers of ten.Why is Jim incorrect?Use an area model to explain your thinking.Then,give the correct area of the rectangle.

Mathematics
2 answers:
madam [21]3 years ago
7 0

Area of the rectangle is 8¹/₈ in²

<h3>Further explanation</h3>

To solve the above questions, we need to recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

<u>Given:</u>

Length of Rectangle = L = 2¹/₂ in

Width of Rectangle = W = 3¹/₄ in

<u>Unknown:</u>

Area of Rectangle = A = ?

<u>Solution:</u>

This problem is about Area of Rectangle.

\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}

A = L \times W

A = 2 \frac{1}{2} \times 3 \frac{1}{4}

A = (2 + \frac{1}{2}) \times (3 + \frac{1}{4})

A = (2 \times 3) + (\frac{1}{2} \times \frac{1}{4}) + ( 2 \times \frac{1}{4} ) + ( 3 \times \frac{1}{2} )

A = 6 + \frac{1}{8} + \frac{1}{2} + \frac{3}{2}

A = 6\frac{1}{8} + 2

A = \boxed {8\frac{1}{8} ~ \texttt{in}^2}

<em>Jim is incorrect because he only calculated 2 of the 4 available sections of the rectangle </em><em>( as shown in the diagram ).</em>

<h3>Learn more</h3>
  • The perimeter of a polygon : brainly.com/question/6361596
  • The perimeter of a rectangle : brainly.com/question/7619923
  • The perimeter of a triangle : brainly.com/question/2299951

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

Anna71 [15]3 years ago
6 0
Multiply the first two numbers then divide
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Answer:

-y = -2x - 3

Option 3

Step-by-step explanation:

When equations are equivalent, they will have infinitely many solutions.

If you want to find an equivalent equation, you can <u>multiply/divide every</u> term in the equation by the same number. You can also <u>rearrange</u> the equation.

Since the options mostly have "y" by itself, start by <u>rearranging</u> to isolate "y" in the given equation.

Move all the other numbers to the right of the equal sign except for "y". To move a number, apply its reverse operation to the entire equation.

Do reverse operations in reverse BEDMAS order.

2y - 4x = 6                Move "-4x" first. It's reverse is +4x.

2y - 4x + 4x = 6 + 4x

2y = 6 + 4x                Move the "2" in 2y. Divide the whole equation by 2.

2y/2 = 6/2 + 4x/2

y = 3 + 2x                  Rearrange to look like the answer choices.

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This equation looks like option 3 except every term has a different negative/positive.

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We can <u>multiply every term</u> by -1.

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6 0
3 years ago
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The table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to fi
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Answer:

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Step-by-step explanation:

The table for the data on the number of movie admissions each year is presented as follows;

Year, x                                             {}                      Admission, y

0                                                      {}                         1.24

2                                                       {}                        1.26

4                                                      {}                         1.39

6                                                      {}                         1.47

8                                                      {}                         1.49

10                                                      {}                        1.57

Using a graphing calculator, we have that the line of best fit is given by the following equation;

y = 1.23047619048 + 3.45714285714 × 10⁻²·x

Which is approximately, y = 1.23 + 3.46 × 10⁻²·x

3 0
3 years ago
Please help. i will brainlist you
Lostsunrise [7]

Answer:

first question:

range-22

IQR-13

second question:

range-26

IQR-15.5

I hope this helped bestie!

7 0
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Gemiola [76]

Answer:

b. 0.32 • 130

Step-by-step explanation:

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mr_godi [17]
6/25.2
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Hope this helps :)
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