Square E has side lengths of e cm
Square F has side lengths of f cm
The area of square E is 69% greater than the are of square F
work out the ratio of e:f

Respuesta :

Answer:

The length ratio of square E to square F is 1.3.

Step-by-step explanation:

The area of the square is equal to the square of its side length. The ratio of areas of square E to square F is:

[tex]\frac{A_{E}}{A_{F}} = \frac{l_{E}^{2}}{l_{F}^{2}} = 1.69[/tex] (1)

Where:

[tex]l_{E}[/tex], [tex]l_{F}[/tex] - Lengths of squares E and F, measured in centimeters.

Then, the length ratio of square E to square F is:

[tex]\frac{l_{E}}{l_{F}} = 1.3[/tex]

The length ratio of square E to square F is 1.3.