The diagram shows a square divided into strips of equal width. Three strips are black and two are grey. What fraction of the perimeter of the square is grey?

Open in App

Solution

Let width of each strip be x $\Rightarrow$
Perimeter of square = $4 (5 x) = 20 x$
Perimeter of square that ia grey = $4 x$
$∴$ fraction = $\frac{4 x}{20 x} = \frac{1}{5}$

Suggest Corrections

Similar questions

Q. What is the fraction of the area shaded purple in the given square if all the strips of purple and white are of equal width?

The diagram shows a sequence of squares, decreasing in size and alternating between white and grey. Each new square is drawn by connecting the midpoints of the sides of the larger square that precedes it. If this process is continued indeﬁnitely, then the fraction of the area that will ultimately be grey is

The figure below shows a square, each of whose sides is 3 centimetres long. Each side is divided into three equal parts and these points are joined to form an octagon: