Question

Someone please help!!!

Answer 1

2.58 m²

Explanation:

Area of the triangle is equal to the half of the product of base and height.

In this case:

Height = 2 m

Base is not complete. So,

By using Pythagorean theorem, we can find the remaining parts of the base.

Which states that:

Hypotenuse² = Base²+Perpendicular²

2.2² = Base² + 2²

Base² = 2.2²-2²

Base² = 4.84 - 4

`\sf Base = √(0.84)`

Now

`\textsf{Total base }= 2.5+ √(0.84)`

`\textsf{Total base }= 3.42 m`

Now,

`\sf \textsf{Area of big triangle }=(1)/(2)* 3.42 * 2 = 3.42 m^2`

Therefore, the area of the big triangle is 3.42 m².

Now,

`\sf \textsf{Area of small triangle }=(1)/(2)* 0.84 * 2 = 0.84m^2`

Now

Area of shaded triangle = Area of big triangle - Area of small triangle

= 3.42 - 0.84

= 2.58 m².

Therefore, the area of the shaded triangle is 2.58 m².

Answer 2

Answer: 2.5

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Explanation

Focus on the smaller right triangle that has vertical leg x and horizontal leg 2 meters. The hypotenuse is 2.2 meters.

• a = x
• b = 2
• c = 2.2

Use the pythagorean theorem to find x.

a^2+b^2 = c^2

x^2 + 2^2 = (2.2)^2

x^2 + 4 = 4.84

x^2 = 4.84 - 4

x^2 = 0.84

x = sqrt(0.84)

x = 0.916515 approximately

x = 0.9

The larger right triangle has a vertical leg of roughly x+2.5 = 0.9+2.5 = 3.4 meters.

Let's find the area of the largest right triangle.

area = 0.5*base*height

area = 0.5*2*3.4

area = 3.4 square meters

Do the same for the smaller right triangle

area = 0.5*base*height

area = 0.5*2*0.9

area = 0.9 square meters

Subtract the two areas to get the area of the white triangular region.

3.4 - 0.9 = 2.5 square meters is the final answer