Answer:
length of the rectangular fabric = [tex]\sqrt{75}[/tex]
Step-by-step explanation:
The diagonal of the rectangle makes two congruent triangles.
Considering the triangle formed by the diagonal.
As diagonal becomes hypotenuse of the triangle
Diagonal= 10 inch
Width= base of the rectangular piece= 5 inches
Perpendicular of the triangle= length of the rectangular fabric(L)
Using Pythagorean Theorem:
[tex](Hypotenuse)^2= (Perpendicular)^2+(Base)^2\\(10)^2=(Length)^2+5^2\\\\100=(Length)^2+25\\\\100-25= Length^2\\\\(Length)^2=75\\[/tex]
So, the length of the rectangular fabric is [tex]\sqrt{75}[/tex]
