the trapezoid has 3inches long . the bottom is twice as long as the top. the length of each side is 5inches. how can you find th
e perimeter of the trapezoid?
1 answer:
Answer:
22 inches
Step-by-step explanation:
The perimeter of a trapezoid is the sum of the lengths of its four sides. If one or more of the lengths is not known, you can sometimes use the Pythagorean Theorem to find it.
We draw the shape of trapezoid all have 6 sides
Two faces are trapezoids and four faces are rectangles
length = 3 inches
height = 5 inches
top side = x
bottom side = 2x (twice the size of top)
To find the perimeter, add the lengths of all four sides.
P=5+5+2x+x =3x + 10 units When we come back to this.
Finding x
if 3 is the midpoint length
We use 1/2
NB/ To undo multiplication 1/2 after we find the perimeter we can divide by half.
So this works together
We take p = H + 5
-5 = H
We plug in for area 3 x 5 = 15 + 15 = 30
So The top line = 4
The bottom x 2 = 8
As 30-5 = 25 we find 25
We add 4, 8, 5 + 5 and find 22 is the answer.
Now divide 22 - 5 by 1/2 half of 17 = 8.5
8 and half.
We have top 4, and 8 bottom.
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