Find the area of rectangle ABCD

Mathematics

1 answer:

zubka84 [21]4 years ago

8 0

Find the length of the rectangle with pythagoras
You can use point (0,0) and (3,3) as the reference points.
l = √(Δx² + Δy²)
l = √((3-0)² + (3-0)²)
l = √(3² + 3²)
l = √18

Find the width of the rectangle with pythagoras
You can use point (0,0) and (2,-2) as the reference points.
w = √(Δx² + Δy²)
w = √((-2-0)² + (2-0)²)
w = √((-2)² + 2²)
w = √(4 + 4)
w = √8

Find the area of rectangle
A = l × w
A = √18 × √8
A = √9 × √2 × √4 × √2
A = 3 × √2 × 2 × √2
A = 12

The area of the rectangle is 12 unit length

You might be interested in

On a map, 1 inch equals 20 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?

8_murik_8 [283]

If 1 inch equals 20miles then 8 inches equals 20 x 8 = 160 miles.

6 0

3 years ago

Read 2 more answers

Can someone help me? Brainliest + Points!

iris [78.8K]

Answer:

D. $\frac{2}{5}$

Step-by-step explanation:

Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{\text{Probability that event will not occur}}$

Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{1-\text{Probability that event will occur} }$

We have been given that probability of an event is 2/7.

Upon substituting our given values in above formula we will get,

$\text{Odds of the given event}=\frac{\frac{2}{7}}{1-\frac{2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{7-2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{5}{7}} }$

$\text{Odds of the given event}=\frac{2}{7}\times \frac{7}{5}$

$\text{Odds of the given event}=\frac{2}{5}$

Therefore, the odds of the same event are $\frac{2}{5}$ and option D is the correct choice.

7 0

3 years ago

Use long division to determine the decimal equivalent of fraction with numerator 2 and denominator 3. 0 point 6 bar 0 point 7 ba

VikaD [51]

Answer:

The correct answer is A

$0.\bar6$

Step-by-step explanation:

We want to determine the decimal equivalence of $\frac{2}{3}$ .

We perform the long division as shown in the attachment.

Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is $2$ , will be inside the long division sign.