Can somebody please help me with these four math questions?

Question

1. A rectangle with an area of 8 ft² is dilated by a factor of 4. What is the area of the dilated rectangle?

A) 12 ft²
B) 32 ft²
C) 64 ft²
D) 128 ft²


2. A triangle with an area of 23 cm² is dilated by a factor of 6. What is the area of the dilated triangle?


3. A prism with a volume of 270 m³ is dilated by a factor of 3. What is the volume of the dilated prism?


4. A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 65. What is the volume of the dilated prism?


Thank you to anyone who helps!

Answer 1

The area of a figure that is dilated by a factor x is x² times the original area.

1. 4² times the original

2. 6² times the original

 

The volume of a figure that is dilated by a factor of x is x³ times the original volume.

3. 3³ times the original volume

4. 65² times the original volume.