Mathematics: What is the area of a rectangle with vertices at (6, −3) , (3, −6) , (−1, −2) , and (2, 1) ? enter your answer in the box.

What is the area of a rectangle with vertices

Ответ:

missmontgomery21

11.03.2022

We are given rectangle with vertices (6, −3) , (3, −6) , (−1, −2) , and (2, 1) .

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\mathrm{The\:distance\:between\:}\left(6,\:-3\right)\mathrm{\:and\:}\left(3,\:-6\right)\mathrm{\:is\:}$

$=\sqrt{\left(3-6\right)^2+\left(-6-\left(-3\right)\right)^2}\$

Length of the rectangle is $=3\sqrt{2}$ .

Width of the rectangle is

$=\sqrt{\left(-1-3\right)^2+\left(-2-\left(-6\right)\right)^2}$

$=4\sqrt{2}$

Area of the rectangle = length × width.

Plugging values of length and width in above formula, we get

Area = $3\sqrt{2}\times 4\sqrt{2}\:$ = 12(2) =24 square units.

Therefore, area of the rectangle is 24 square units.

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Ответ:

baileyrw

09.02.2021

Mathematics

1 - Convert the percentage to a decimal.
2 - Multiply the decimal by the number you are finding the percentage of. This will be your final answer.

(1) 20% of 80
20 / 100 = 0.20
20% = 0.20
0.20 * 80 = 16
16 is 20% of 80

(2) 55% of 1000
55 / 100 = 0.55
55% = 0.55
0.55 * 1000 = 550
550 is 55% of 1000

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What is the area of a rectangle with vertices at (6, −3) , (3, −6) , (−1, −2) , and (2, 1) ? enter your answer in the box.

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