If you have to figures - Figure A and Figure B, and their linear scale factor is 2/5, then does that mean Figure B's sides are 2/5 of Figure A's or Figure A's sides are 2/5 of figure B. Also, What is the ratio of the area of Figure A and Figure B?

Question

Mathematics

Ali Willis

4 January, 20:58

If you have to figures - Figure A and Figure B, and their linear scale factor is 2/5, then does that mean Figure B's sides are 2/5 of Figure A's or Figure A's sides are 2/5 of figure B. Also, What is the ratio of the area of Figure A and Figure B?

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Answers (1)

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Emmalee Pittman · Answer 1

Correct answer: Figure A's sides are 2/5 of figure B.

Step-by-step explanation:

In the order the figures are given the proportion will be:

A : B = 2 : 5

By multiplying the outer and inner members of the proportion we get:

5 · A = 2 · B ⇒ A = (2/5) · B

That mean figure A's sides are 2/5 of figure B.

This means that the two units of figure A are referred to as the five units of figure B.

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