Answer:
20 units
Step-by-step explanation:
We are given that
On a coordinate plane , rhombus ABCD in which point A is at (1,1) and point B is at (-2,-3), point C is at (-5,1) and D is at (-2,5).
We have to find the perimeter of rhombus ABCD.
Distance formula :
Using the distance formula
Side AB=
We know that sides of rhombus are equal
Therefore, AB=BC=CD=AD=5 units
Perimeter of rhombus=
Perimeter of rhombus=
Answer: 20 units
Given:
The sum of three numbers is 212 .
The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.
To find:
The unknown numbers.
Solution:
We have,
First : Second = 13:16
Second: Third = 2:3
We need to combine these ratios, to get a single ratio for all three numbers.
Second: Third = 2×8:3×8 = 16:24
Now,
First: Second: Third = 13:16:24
Let the first, second and third numbers are 13x, 16x and 24x respectively.
So, the numbers are,
Similarly,
And,
Therefore, the three unknown numbers are 52, 64, 96.