please help me ...

[Shazan raza]

A rectangular piece of paper is 100 cm
long and w cm wide (Figure 1.16). If it is
cut along the dotted line, the two pieces
of paper are similar to the original piece.
Find the value of w.

 

[Deleted member 4993]

View attachment 29578
A rectangular piece of paper is 100 cm
long and w cm wide (Figure 1.16). If it is
cut along the dotted line, the two pieces
of paper are similar to the original piece.
Find the value of w.

The given rectangle is cut into two rectangles of sizes L&*W and (100 -L)&W.

These rectangles are similar to the original rectangle.

Now use the property of similar figures.

 

[lev888]

View attachment 29578
A rectangular piece of paper is 100 cm
long and w cm wide (Figure 1.16). If it is
cut along the dotted line, the two pieces
of paper are similar to the original piece.
Find the value of w.

Can you draw a different diagram that shows how the smaller rectangle is actually similar to the original rectangle?