The trapezoids are similar. the area of the smaller trapezoid is 564 m2. find the area of the larger trapezoid to the nearest whole number. (1 point)

Respuesta :

564 (57/24)^2
= 564 · 5.64
= 3,181

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The area of the larger trapezoid is 3181 square meters

How to determine the area of the larger trapezoid?

The given parameters are:

  • Small trapezoid = 564 m^2
  • Corresponding sides = 24 m and 57 m

The area of the large trapezoid is the product of the small area and the square of the quotient of the corresponding sides.

So, we have:

Large = 564 * (57/24)^2

Evaluate

Large = 3181.3125

Approximate

Large = 3181

Hence, the area of the larger trapezoid is 3181 square meters

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