A square with a perimeter of 20 inches is cut into 2 pieces, which are attached by their short ends to make a rectangle. What is
1 answer:
Answer:
25 inches
Step-by-step explanation:
If square has a perimeter of 20 inches, the length of each side is:
After cutting the square in half, we are left with two rectangles of 5 in x 2.5 in
Attaching those two smaller rectangles by their short end (2.5 in side), gives us a new rectangle with a height of 2.5 in and a length of 10 in (sum of the 5 in sides in each rectangle). The perimeter of this new rectangle is:
The perimeter is 25 inches.
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Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
Now, the perimeter of the triangle CDE is:
Therefore, the perimeter of the triangle CDE is 56 units.