Respuesta :

joshleemelendez

Answer:

You have to find the hypotenuses of the triangle to get the area of the entire area of the shape.  Once you have the length of the hypotenuses then you can use that value to calculate the area of the triangle and the area of the box above.

Hyp = sqRoot ( 3.16^2 + 6.32^2) = sqroot(50) = 7.07

Area of Triangle = 1/2 x b x h = 1/2 x 6.32 x 3.16 = 9.99= 10

Are of square above triangle = l x w = 7.07 x 7.07 = 49.99 = 50

Total area = 10 + 40 +10 +50 = 110 SQ UNITS

Step-by-step explanation:

Cetacea

The area of the required square is 50.

If the area of a square = 10

Then the side length = [tex]\sqrt{10}[/tex].

If the area of a square = 40

Then the side length = [tex]\sqrt{40}[/tex].

So the legs are [tex]\sqrt{10},\sqrt{40}[/tex].

So using pythegaorean identity the hypotenuse is = [tex]\sqrt{\left(\sqrt{10}\right)^{2}+\left(\sqrt{40}\right)^{2}} = \sqrt{10+40}=\sqrt{50}[/tex].

So the area of the required square is = [tex]\left(\sqrt{50}\right)^{2}=50[/tex].

Learn more: https://brainly.com/question/8806877

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