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Rasek [7]
3 years ago
10

What is the area of the rectangle shown on the coordinate plane?

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

The area of the rectangle is 42 units

The formula for calculating the area of a rectangle is expressed as:

  • A = length * width

From the figure, we will use the formula for calculating the distance between two points as shown:

For the length, we will use the coordinate points (5, 2) and  (2, -1)

Length  = √(-1-2)² + (2-5)²

Length = √9 + 9

Length = √18 = 3√2

Similarly for the width, we will use the coordinate points (5, 2) and  (12, -5)

Width  = √(-5-2)² + (12-5)²

Length = √49 + 49

Length = √98 = 7√2

Area of the rectangle = 3√2 * 7√2

Area of the rectangle = 42 units

Hence the area of the rectangle is 42 units

Learn more on area of rectangle here:brainly.com/question/2607596

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The total surface area of the triangular prism is blank squar millimeter.​
Shtirlitz [24]

Answer:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram

Step-by-step explanation:

hope this helps :)

7 0
3 years ago
Maia mixed a batch of punch for the class party. Her recipe called for 4 2/5 cups
siniylev [52]
You just have to add all the amounts of the ingredients.
4 2/5 + 3 1/2 + 12 3/4

You can first add all the whole numbers
4 + 3 + 12 = 19

Then, you can add all the fractions
2/5 + 1/2 + 3/4

To add all the fractions, you have to use the LCD. The LCD is 20. So, divide 20 with the denominator of each fraction and multiply the result with the numerator. The denominator of all fractions would now be 20.

So,
(2x4 + 1x10 + 3x5) / 20
(8 + 10 + 15)/20
33/20

The answer is an improper fraction. We divide 33 by 20 and get the remainder.
33/20 = 1 13/20

We have a whole number of 1, we add this to the sum of the whole numbers we got earlier.
19 + 1 =20

Finally, we put together the whole number and the remainder (fraction)
20 13/20.

Therefore, the recipe can make 20 1-cup servings. The remaining 13/20 can't make a full-sized cup.
8 0
3 years ago
An employee earns $56,000 in the first year with a company. Every year, the annual salary increases by $2,500. How much is earne
Strike441 [17]

<em>Answer</em>

$518,000

<em>Step-by-step explanation</em>

An employee earns $56,000 in the first year.

Given that every year, the annual salary increases by $2,500, then in the second year the employee will earn $56,000 + $2,500, in the third year, the employee will earn $56,000 + 2x$2,500, and so on.

8 0
1 year ago
11. Max is designing a hot tub for a local spa.
Bezzdna [24]

Answer:

Area required for circular hot tube = 6,218 inch² (Approx.)

Step-by-step explanation:

Given:

Diameter of circular hot tube = 89 inches

Value of π = 3.14

Find:

Area required for circular hot tube

Computation:

Radius of hot tube = Diameter / 2

Radius of hot tube = 89 / 2 inches

Area required for circular hot tube = Area of circle

Area of circle = πr²

Area required for circular hot tube = πr²

Area required for circular hot tube = (3.14)(89/2)²

Area required for circular hot tube = (3.14)(7921 / 4)

Area required for circular hot tube = (3.14)(1,980.25)

Area required for circular hot tube = 6,217.985

Area required for circular hot tube = 6,218 inch² (Approx.)

5 0
3 years ago
Dan sold half of his comic books and then bought 9 more. He now has 11.how many did he begin with
Dimas [21]
<h2>4</h2>

Subtract 9 and multiply by 2

6 0
4 years ago
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