Mathematics: The diagram shows a square, of side length x. inside the square is a shaded triangle with a vertex at a perpendicular distance y from the top edge. if y=1/4x, calculate the fraction of the square that is shaded. ignore the pen and scribbles on the diagram.

The diagram shows a square, of side length x.

Ответ:

Dpj21

01.01.2022

$The\ area\ of\ the\ square:A_{\fbox{}}=x^2\\\\The\ area\ of\ the\ triangle:A_\Delta=\frac{1}{2}\cdot\frac{3}{4}x\cdot x=\frac{3}{8}x^2\\\\The\ area\ of\ the\ shaded\ place:\\\\A=A_{\fbox{}}-A_\Delta=x^2-\frac{3}{8}x^2=\frac{8}{8}x^2-\frac{3}{8}x^2=\frac{8-3}{8}x^2=\frac{5}{8}x^2\\\\The\ fraction\ of\ the\ square\ that\ is\ shaded:\frac{A}{A_{\fbox{}}}=\frac{\frac{5}{8}x^2}{x^2}=\boxed{\boxed{\frac{5}{8}}}$
The diagram shows a square, of side length x. inside the square is a shaded triangle with a vertex a

The diagram shows a square, of side length x. inside the square is a shaded triangle with a vertex a

0,0(0 оценок)

Ответ:

ashiteru123

09.12.2022

Mathematics

21. idk

22. idk

23. idk

24. idk

0,0(0 оценок)

The diagram shows a square, of side length x. inside the square is a shaded triangle with a vertex at a perpendicular distance y from the top edge. if y=1/4x, calculate the fraction of the square that is shaded. ignore the pen and scribbles on the diagram.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question