Question

Figure A is enlarged to create figure B. The ratio of the areas of A and B is 16:49.

One side of B is 5ft long. How long would the corresponding side on figure B be. Leave your answer as a fraction. (No image was provided, only the question itself.)​

Answer 1

Answer:
`(20)/(7)`

Explanation:

Given

The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides

Suppose the corresponding side on figure A is
`x`

On solving

`\Rightarrow (16)/(49)=[(x)/(5)]^2\\\\\Rightarrow (x)/(5)=\sqrt{(16)/(49)}\\\\\Rightarrow (x)/(5)=(4)/(7)\\\\\Rightarrow x=(20)/(7)`