Mathematics: You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is one and a half times the width, what is the width? 4 feet 8 feet 10 feet 12 feet

Tanθ =sin /costan θ = 5/2 / ytan (30°) = 5/2 /yy=4.33...

You are planning on retiling your bathroom floor

odellbeckham7171

29.01.2022

8 feet

Step-by-step explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 9 $3/2 x^2 = 96\\= 3 x^2 = 96*2=192\\= x^2 = 192/3 = 64\\=\sqrt{x^2} = \sqrt{64} \\= x = 8$ 6 sq. feet

Width of bathroom be x

Given that the length of the bathroom is one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of bathroom is 86 sq. feet, therefore

$3/2 x^2 = 96\\= 3 x^2 = 96*2=192\\= x^2 = 192/3 = 64\\=\sqrt{x^2} = \sqrt{64} \\= x = 8$

Thus, width of bathroom is 8 feet.

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Arealbot

17.11.2021

Tanθ =sin /cos

tan θ = 5/2 / y

tan (30°) = 5/2 /y

$y = \frac{5 \sqrt{3} }{2}$

y=4.33

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