9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
2 x 420
3 x 280
4 x 210
5 x 168
6 x 140
7 x 120
8 x 105
10 x 84
12 x 70
14 x 60
15 x 56
20 x 24
21 x 40
24 x 35
28 x 30
2 x 2 x 210
2 x 3 x 140
2 x 5 x 84
2 x 7 x 60
3 x 5 x 56
3 x 7 x 40
5 x 7 x 24
2 x 2 x 2 x 105
2 x 2 x 3 x 70
2 x 2 x 5 x 42
2 x 2 x 7 x 30
2 x 3 x 5 x 28
2 x 3 x 7 x 20
3 x 5 x 7 x 8
2 x 2 x 2 x 3 x 35
2 x 2 x 2 x 5 x 21
2 x 2 x 2 x 7 x 15
Answer:
Susan has the most money which is $72
Step-by-step explanation:
because john has $50 which is lower than $72 and kara has $65 which is lower than $72 so therefore susan has more money
Answer: it will take 5 people 1.5 hours
Step-by-step explanation:
It took 3 people 2 1/2 hours to paint a large room. Changing from mixed fraction to improper fraction, 2 1/2 hours will be 5/2 hours. Therefore,
It took 3 people 5/2 hours to paint a large room.
For 5 people to paint a similar room, it will take them lesser time. Thi s is an inverse variation. Therefore, the number of people is varies inversely
with the time it takes them to paint the room.
Let number of people be p and time it takes be t
p varies inversely with t.
Introducing constant of variation, k, it becomes
p = k/t
If 3 people take 5/2 hours, then
3 = k/(5/2)
k = 3 × 5/2 = 7.5
Our expression becomes
p = 7.5/t
The time it will take 5 people will be
p = 5 so,
5 = 7.5/t
t = 7.5/5 = 1.5 hours