Answer:
The area of the now-enlarged shape quadruples. The units are the same; square units.
Step-by-step explanation:
The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.
When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).
Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.
For example, if the shape was a rectangle.
A = L × B
When enlarged, new L = 2L, new B = 2B
new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.
A circle
A = πr²
When enlarged, new R = 2r
new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.
Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.
Hope this Helps!!!
