Answer:
perimeter = 40
area = 46(unit)^2
Step-by-step explanation:
Perimeter - all sides added together
- Find unknown sides (8-3 = 5, 12-2 = 10)
- Add all sides together (8+2+5+10+3+12 = 40)
Area - Length multiplied by width
- Divide shape into two rectangles (#1 is 2x5 and #2 is 3x12)
- Find individual area (rectangle #1: 2*5 = 10 / rectangle #2: 3*12 = 36)
- Add areas together (10+36 = 46)
- Finish with unit squared (46___^2)
Answer & Explanation:
For this question, you need to figure out the length and the width because the area is directly related to them (A = l*w).
What we do know is that the perimeter is 36 inches. Since the perimeter is equal to P = 2l + 2w, we can say:
P = 36 = 2(3 + 2w) + 2(w), where the length l is 3 + 2w
Solve for w first, then solve for l. Use these values to find the area.
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Answer:
The GCF of 25 and 35 is 5.
Explanation:
One way to find the GCF is to find the prime factorization of each number. So,
25=52
35=5⋅7
Now, we can find all the factors 25 and 35 have in common. We see that 25 and 35 both have a 5, but not 52 because 35 only has one 5.
35 also has a 7, but that is not in the prime factorization of 25, so we do not include it. Since there is only one common factor which is 5, that is our "greatest common factor
The last statement
AD and DC are equal as shown by the small lines through them
DB is perpendicular and at exactly half way of line AC
Angles CBD and ADB are 92° and 88°
92 + 88 = 180
So the false one must be the last one.
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