Mathematics: Sam built a fence that was 54 feet long. she built the same length of fence each day for 6 days. how many inches of fence did sam build each day?

Sam built a fence that was 54 feet long. she built - id544089607, sierralynnbaldp16d4b

nanagardiner08

21.05.2023

The correct option is

Step-by-step explanation: Given that a rectangle has a width of 9 units and a length of 40 units.

We are to find the length of its diagonal.

We know that

each diagonal of a rectangle divides it into two congruent right-angled triangles.

In the figure below, ABCD is a rectangle with AC as one of its diagonal.

FRom the given information, we must have

AD = 40 units and CD = 9 units.

To find the length of diagonal AC.

Since ACD is a right-angled triangle with AC as the hypotenuse, so we must have, using Pythagoras theorem,

$AC^2=AD^2+CD^2\\\\\Rightarrow AC=\sqrt{40^2+9^2}\\\\\Rightarrow AC=\sqrt{1681}\\\\\Rightarrow AC=41.$

Thus, the required length of the diagonal is 41 units.

Option (C) is CORRECT.

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