Answer:
the width of the fabric is approximately 120 cm.
Step-by-step explanation:
To find the width of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the diagonal of the fabric is 150 cm and the length is 90 cm. Let's represent the width of the fabric as 'w'. So, we have:
w^2 + 90^2 = 150^2
Simplifying the equation, we get:
w^2 + 8100 = 22500
Subtracting 8100 from both sides, we have:
w^2 = 14400
Taking the square root of both sides, we find:
w = √14400
Calculating the square root, we get:
w ≈ 120 cm
Therefore, the width of the fabric is approximately 120 cm.
