Answer:
width = 9 m
Explanation:
the diagonal divides the rectangle into 2 right triangles.
using Pythagoras' identity on one of the triangles
with legs 12 and width (w) and hypotenuse (diagonal) 15 , then
w² + 12² = 15²
w² + 144 = 225 ( subtract 144 from both sides )
w² = 81 ( take square root of both sides )
w =
= 9
that is the width of the rectangle is 9 m