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3241004551 [841]
3 years ago
9

The dimensions of a trapezoid are halved.

Mathematics
1 answer:
Vladimir [108]3 years ago
6 0

Answer:

  a) area will be 1/4 of the original

  b) 7 cm²

Step-by-step explanation:

<h3>a)</h3>

Consider the equation for the area of a trapezoid:

  A = 1/2(b1 +b2)h

Now, halve each of the dimensions:

  A' = 1/2((1/2)b1 +(1/2)b2)((1/2)h)

  A' = (1/4)(1/2(b1 +b2)h) = 1/4A

The area is multiplied by the square of the scale factor: (1/2)² = 1/4.

__

<h3>b)</h3>

The area of the smaller trapezoid will be ...

  A' = 1/4A = (1/4)(28 cm²) = 7 cm²

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