The length of each base of a trapezoid is shrunk to one-third its original length and the height of the trapezoid is tripled. Lisa claims that the area of the new trapezoid is one-third the area of the original trapezoid.
Which expression best uses the dimensions of the new trapezoid to compare its area to the area of the original trapezoid in order to
determine if Lisa's claim is accurate?
A
lh + b) 3h
C С
3(02+)31
D

9514 1404 393

  A

Step-by-step explanation:

The formula for the area of the original trapezoid is ...

  A = 1/2(b1 +b2)h

Using 1/3 the base length and 3 times the height, the area of the new trapezoid is ...

  A = 1/2((1/3b1) +(1/3b2))(3h)

  = (1/2)(1/3)(b1 +b2)(3h)

  = 1/6(b1 +b2)3h . . . . . . . . matches choice A

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: