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Lelechka [254]
3 years ago
10

Please find the area of the figure!!

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

The figure consists of a rectangle and a circle.

first lets find the sides of the triangle

sides of the triangle are 4+4=8 and 3+1=4

therefore area of the rectangle is 8*4=32

now area of semicircle =πr^2/2 = π2^2/2=2π=6.3

we have to add the area of rectangle with the area of semicircle

this is because it the given figure no part of area of circle and rectangle are in common.

therefore total area of given figure = 32+6.3=38.3

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The width of the walkaway be 4 feet.

<h3>What is Discriminant Formula?</h3>

The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equationax^{2} +bx+c=0 is D =b^{2} -4ac

If D > 0, then the equation has two real distinct roots.

If D = 0, then the equation has only one real root.

Given that: Area\; of \;walkway,\; a(w)\;= 4w^{2} + 100 w

also, area of walkaway = 464 square feet.

So, 4w^{2} + 100 w =464

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Using Discriminant method,

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w= \frac{-b\pm\sqrt{b^{2}-4ac} }{2a}

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Hence the width of the walkaway be 4 feet.

Learn more about discriminant formula here:

brainly.com/question/2615966

#SPJ1

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