Answer:
Step-by-step explanation:
Given are two rectangles MNOL and IJKH
MNOL is the image and IJKH is the preimage.
OBviously similarity is preserved between these.
Hence sides will be proportional
i.e. l1/l2 = w1/w2 = Scale factor k
This can also be written as
Scale factor square =
Scale factor = square root of ratio of rectangle areas
Find ratio as
k = Scale factor = square root of the above fraction
=
Answer:
Height of fir tree = 9 meters
height of pine tree= 12 meters
Step-by-step explanation:
The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree
Subtract x from both sides
height of 4 fir trees = pine tree +24
Substitute 21-x or y in the above equation
Add x on both sides
Divide by 5 on both sides
x=9
Now plug in 9 for x and find out y
y=12
Height of fir tree = 9 meters
height of pine tree= 12 meters