A certain rectangular has a height of 4 length of 3 and width of 7 give the dimensions of second prism that has the same surface
1 answer:
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Answer:
The perimeter of △HFM is 50.75 units
Step-by-step explanation:
<u><em>The correct picture of the question in the attached figure</em></u>
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
we have
△HFM∼△PST ----> given problem
step 1
Find the scale factor
Let
z ----> the scale factor
substitute the given values
step 2
Find the perimeter of triangle PST
Remember that the perimeter of a triangle is the sum of its three length sides
step 3
Find the perimeter of triangle HFM
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor
so
we know that two similar triangles will have ratio corresponding side is same.
ratio triangle 1 is 75m^2.
and triangle 2 is 12m^2.
so we have ratio of area .
ratio of perimeter will be .
from these perimeter ratio also .