Question

the area of a rectangle is 44 square units. its length measures 11 units. find the length of its diagonal. round to the nearest tenth of a unit.
answer
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Explanation:

Step1: Find rectangle width

$\text{Width} = \frac{\text{Area}}{\text{Length}} = \frac{44}{11} = 4$ units

Step2: Calculate diagonal via Pythagoras

$\text{Diagonal} = \sqrt{\text{Length}^2 + \text{Width}^2} = \sqrt{11^2 + 4^2}$

Step3: Compute and round result

$\sqrt{121 + 16} = \sqrt{137} \approx 11.7$

Answer:

11.7 units