Question

Can you please help me out with a question

Answer 1

Note:

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

That is:

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

The value of X is 36