Question

If figure A has a surface area of 250 ft², and the scale factor of figure A to figure B is 6:3, what is the surface area of figure B?

Answer 1

The surface area of Figure B is 125 ft².

Step-by-step explanation:

To find the surface area of Figure B, we need to determine the scale factor between Figure A and Figure B. According to the given information, the scale factor of Figure A to Figure B is 6:3. This means that every measurement in Figure B is half of the corresponding measurement in Figure A.

Since surface area is a two-dimensional quantity, we can conclude that the surface area of Figure B is half of the surface area of Figure A. Therefore, the surface area of Figure B is 250 ft² ÷ 2 = 125 ft².