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kolezko [41]
3 years ago
12

In the figure to the right, AB = 7 1/2 m, BC = 2 1/4 m, and DE = 1 1/4 m. Find the perimeter of the figure if all angles are rig

ht.

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

Perimeter=22 m

Step-by-step explanation:

Perimeter Of A Figure

Perimeter is the distance measured around a shape. If the figure is line-shaped, the perimeter can be obtained by adding the individual lengths of each segment around the shape.

The figure shown is surrounded by line segments. We only have to add them all to find the perimeter. But we don't need each individual length to do so. We may notice the following (given all angles are right):

The sum of HG+FE+DC equals AB. So the upper and lower lengths are twice AB, or equivalently: 2*7 1/2 m =15 m

It can also be noted that AH+GF=BC+DE=2 1/4+1 1/4 = 3 1/2 m. It means that the two lateral lengths are twice this value: 2* 3 1/2 = 7 m

Thus, the total perimeter is 15 m + 7 m = 22 m

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Is EFGH below a rectangle
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  D. No, because EFGH is a parallelogram but it’s diagonals are not congruent

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The differences between the end points of the diagonals are ...

  F -H = (1, 1) -(2, -5) = (1 -2, 1 -(-5)) = (-1, 6)

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The midpoints of the diagonals will be in the same place if the sum of their end points is the same. (Dividing each sum by 2 gives the midpoint of that segment.)

  F+H = (1, 1) +(2, -5) = (3, -4)

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The diagonals bisect each other (have the same midpoint), so the figure is a parallelogram.

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3 0
2 years ago
The bases of a trapezoid are 16.8 yards and 6.9 yards. If the height is 2 yards, what is the area of the trapezoid?
Svet_ta [14]
Hello,
Here is the formula to find the area of the trapezoid:
A=1/2(b1+b2)×h
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A=23.7 square yards. As a result, the area of the trapezoid is 23.7 square yards. Hope it help!
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3 years ago
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