YohannesN766623 YohannesN766623
  • 25-10-2022
  • Mathematics
contestada

Can you please help me out with a question

Respuesta :

BeyaH120751 BeyaH120751
  • 25-10-2022

Note:

For similar shapes, the ratio of their areas is equal to the square of the ratio of sides.

That is:

[tex]\text{ ratio of areas of similar shapes = (ratio of sides )}^2[/tex][tex]\begin{gathered} \frac{846}{376}\text{ = (}\frac{X}{24})^2 \\ \frac{846}{376}\text{ = }\frac{x^2}{576} \\ \text{cross multiply} \\ 376X^2=\text{ 576 x 846} \\ 376X^2=487296 \\ X^2=\frac{487296}{376} \\ X^2=1296 \\ X=\sqrt[]{1296}\text{ = 36} \end{gathered}[/tex]

The value of X is 36

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