Respuesta :

Answer:

96 m²

Step-by-step explanation:

The unshaded region is a right triangle.

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Calculate b using Pythagoras' identity in the right triangle

b² + 16² = 20²

b² + 256 = 400 ( subtract 256 from both sides )

b² = 144 ( take the square root of both sides )

b = [tex]\sqrt{144}[/tex] = 12

Thus area of unshaded region is

A = [tex]\frac{1}{2}[/tex] × 12 × 16 = 6 × 16 = 96 m²

BasketballEinstein

Answer:

[tex]\displaystyle 96\:m^2[/tex]

Step-by-step explanation:

You can easily solve this using Pythagorean Triplets:

[tex]\displaystyle 3, 4, 5 \\ 6, 8, 10 \\ 9, 12, 15 \\ \boxed{12, 16, 20}[/tex]

The shorter leg is twelve metres long. Now you must find the area of this right triangle:

[tex]\displaystyle \frac{hb}{2} = A\:OR\:\frac{1}{2}hb = A \\ \\ \frac{[16][12]}{2} = \frac{192}{2} = 96\:OR\:\frac{1}{2}[16][12] = \frac{1}{2}[192] = 96[/tex]

You see how swift that was?

I am joyous to assist you at any time.

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