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# help

+1
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3

Note: The shaded area is a rectangle.

Jun 19, 2020

#1
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We have a 3-4-5 right triangle and a similar triangle with a hypotenuse of 3 units.

The longer leg of a smaller triangle:   3 / b = 5 / 4       b = (3 * 4) / 5  This is the width of the rectangle.

The length of the rectangle:        a = 5 - sqrt( 3² - b² )

Jun 19, 2020
#3
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A = ab

Guest Jun 19, 2020
#2
+10003
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$$x:3=3:\sqrt{3^2+4^2}\\ x:3=3:5\\ 5x=9\\ x=\frac{9}{5}$$      $$the\ section\ at\ the\ bottom\ left$$

$$b:3=4:5\\ b=\frac{12}{5}$$                       $$width$$

$$a=5-x=5-\frac{9}{5}\\a=\frac{16}{5}$$          $$length$$

$$A=a\times b\\ A=\frac{16}{5}\cdot \frac{12}{5}$$

$$A=\frac{192}{25}=7.68$$

!

Jun 19, 2020