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zepelin [54]
3 years ago
10

Please assist me with #14​

Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0

Answer:

  a, c) see below

  b) trapezoid

  d) 80 square units

Step-by-step explanation:

a, b, c) See the attached plot. The different-length horizontal bases make this a trapezoid.

__

d) The area of the original is ...

  A = (1/2)(b1 +b2)h = (1/2)(1+4)(2) = 5

Dilation by a factor of 4 multiplies the area by a factor of 4² = 16.

The area of the larger trapezoid is ...

  5 × 16 = 80 . . . . square units

__

Of course, you can use the area formula, too:

  A = (1/2)(b1 +b2)h = (1/2)(4 +16)(8) = 80 . . . . square units

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