Answer:
option D. 126 cm
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles PQR and XYZ are similar by AA Similarity Theorem
so
Let
z ---> the scale factor
substitute the given values
step 2
Find the perimeter of triangle XYZ
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
p_1 ----> the perimeter of triangle XYZ
p_2 ---> the perimeter of triangle PQR
so
The perimeter of triangle PQR is
we have
substitute
therefore
The perimeter of triangle XYZ is 126 cm
To determine the volume of the rhombus, we use the equation,
V = Bh
where B is the area of the base and h is the height.
For rhombus, the area is calculated through the equation,
B = D₁D₂/2
Substituting,
B = (6)(8) / 2 = 24 units squared
Volume calculation:
V = (24)(16) = 384 units cubed
Answer:
12 & 7
Step-by-step explanation:
12 + 7=19
12 - 7=5
Answer:
18 days.
Step-by-step explanation:
We have been given that 12 painters paint the wall of a school in 21 days.
So the wall painted by one painter will paint the wall in 
As one painter will paint the wall in 252 days, so to find the number of days it will take to paint the same wall by 14 painters, we will divide time taken by one painter (252) by 14.
Therefore, it will take 18 days to paint the same wall by 14 painters.
