Question

question
the area of a rectangle is 105 square units. its width measures 7 units. find the length of its diagonal. round to the nearest tenth of a unit.
answer attempt 1 out of 2
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Explanation:

Step1: Find the length of the rectangle

Area of rectangle = length × width → $105 = length × 7$ → $length = \frac{105}{7} = 15$ units

Step2: Calculate the diagonal using Pythagoras theorem

Diagonal $d = \sqrt{length^2 + width^2} = \sqrt{15^2 + 7^2} = \sqrt{225 + 49} = \sqrt{274} ≈ 16.5529$

Step3: Round to nearest tenth

$16.5529 ≈ 16.6$

Answer:

16.6 units