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3 years ago

A square kitchen floor has an area of 123 square feet estimate the length of one wall to the nearest tenth of a foot

2 answers:

6 0

Area=side^2
123ft²=side^2
square root both sides
estimate
hmm

12²=144
11²=121
so somewhere above 11 but below 12
so like 11.1 (it's 11.09 so rounded it is 11.1)

11.1ft

Darina [25.2K]3 years ago

6 0

area of a square = S^2

S^2 = 123

S = sqrt(123)

S = 11.0905

rounded to nearest tenth = 11.1 feet

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<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

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$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

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⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

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