Question

This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.

Answer 1

The surface area of the image after the dilation is 219 3/8 m²

What is an area?

Area is the amount of space occupied by a two dimensional shape or object.

The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²

The surface area of the image after the dilation = scale factor² *  390 m² = (3/4)² * 390 m² = 219 3/8 m²

The surface area of the image after the dilation is 219 3/8 m²

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