Question

Trapezoid QRST is dilated by a scale factor of 3.4 to create trapezoid Q'R'ST. The area of trapezoid QRST is y square units.

What is the area in square units of trapezoid Q'R'S'T'?
A 3.4y square units
B 2(3.4+y) square units
C (3.4y)^2 square units
D (3.4)^2y square units

Answer 1

The area of a geometric shape changes by the square of the scale factor when the shape is dilated. So, if trapezoid QRST is dilated by a scale factor of 3.4 to create trapezoid Q’R’S’T’, then the area of trapezoid Q’R’S’T’ is (3.4)^2 * y square units. So the correct answer is D (3.4)^2y square units.

Explanation: