Question

30. Figure A has an area of 18 sq. ft. Figure B has anarea of 98 sq. ft. and one side length is 14 ft. What isthe corresponding side length of Figure A?

Answer 1

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem

Figure A and Figure B are similar

so

step 1

Find out the scale factor

scale factor^2=18/98

scale factor=√(18/98)

step 2

To find out the corresponding side length of Figure A, multiply the side length of figure B by the scale factor

so

14*√(18/98)=6

the answer is 6 ft