Janelle takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner the cut she makes is 15 centimeters long and the width of the fabric is 12 centimeters what is the Fabrics length?

Mathematics · Middle School · Wed Jan 13 2021

Answered on

Given :

Diagonal of rectangle, Hypotenuse = 15 cm

Width of rectangle, let P = 12 cm

Length of rectangle, let B = ?

Since, all angles of rectangle are of 90°. We can apply phythogoras theorem.

H² = P² + B²

15² = 12² + B²

225 = 144 + B²

B² = 225 - 144

B² = 81

B = 9

Hence, Length of fabric is 9 cm.