Answer:
Length = 8 in. Perimeter = 28 in.
Step-by-step explanation:
The equation for finding area is: A = l*w
Let's put the values we already know into the equation
48 = l * (6)
Divide both sides by 6 to isolate the l
8 in. = l
We know this answer is correct because 8 * 6 = 48
Now that we know that the length is equal to 8, we can solve for the perimeter.
To find the perimeter you have to add the values of all of the sides together.
Since we know that the top of a letter box is in the shape of a rectangle, we know that two of the sides are 6 in. and the other two sides are 8 in.
6 + 6 + 8 + 8 = 28 in.
Answer:
Step-by-step explanation:
1. Same-side interior angles theorem; 2. Substitution Property
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Answer: Triangle with the three corner points at </h3>
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Explanation:
Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise
A = (0,0)
B = (2,-4)
C = (-4,-4)
Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2
A = (0,0) becomes A' = (0,0). No change happens. This point is fixed
B = (2,-4) becomes B' = (4,-8). This point does move
C = (-4,-4) becomes C' = (-8,-8). This moves as well
So all you need to do from here is draw triangle A'B'C'.
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Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.