Answer:
a) parallelogram
b) 18 square units
c) 19.21 units
d) see below
e) perimeter: 38.42 units; area: 72 square units
Step-by-step explanation:
a) The horizontal bases are the same length but the sides are not vertical, so the figure is a parallelogram.
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b) The area is the product of base and height:
A = bh = 6·3 = 18 . . . . square units
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c) The lengths of the sides can be found from the Pythagorean theorem. Each has a rise of 3 and a run of 2, so its length is ...
d = √(3²+2²) = √13 ≈ 3.606
The total length of the four sides is ...
P = 2(6 + 3.606) ≈ 19.21 . . . . units
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d) See below
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e) Since the dilation factor is 2, the perimeter is 2 times that of MATH, so is ...
2P = 2×19.21 units = 38.42 units
and the area is 2² = 4 times that of MATH, so is ...
4A = 4×18 square units = 72 square units
