Respuesta :

Answer:

20 yd²

Step-by-step explanation:

This problem is really easy once you break it down!

First, find the area of the triangle.

[tex]A = \frac{1}{2}bh[/tex]

b = 5 + 3 = 8

h = 4 + 4 = 8

[tex]A = \frac{1}{2}*8*8[/tex]

[tex]A = 32[/tex]

Now find the area of the square.

[tex]A = lw[/tex]

[tex]A = 4*3[/tex]

[tex]A = 12[/tex]

The last step is to subtract.

Area of triangle - area of rectangle =

32 - 12 = 20

20 yd²

Hope this helped! :)

Answer: 20 yards.

Step-by-step explanation:

To find the area of the shaded region (in blue), first find the area of the right triangle and the rectangle.

Rectangle.

Use [tex]a = lw[/tex] (area = length x width) since you are already given the values

[tex]a = lw = 3*4=12[/tex]

Right triangle.

Use [tex]a= \frac{1}{2} ab[/tex] to find the area of a right triangle, in which a and b are legs (not the hypotenuse.

[tex]a = \frac{1}{2} ab = \frac{1}{2} *8*8 = 32[/tex]

Subtract the area of the rectangle from the right triangle to find the area of the shaded region.

[tex]32-12=20[/tex]

The answer is 20 yards.

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