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3 years ago

Could someone please explain how to solve for the area?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

8 0

9514 1404 393

Answer:

6.9 m²

Step-by-step explanation:

All of the sides are the same length. The altitude meets the base at its midpoint, so the altitude (h) of the triangle can be found using the Pythagorean theorem.

h² + 2² = 4²

h² = 12

h = 2√3

Then the area is ...

A = 1/2bh

A = (1/2)(4 m)(2√3 m) = 4√3 m² ≈ 6.9 m²

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If you work through the above area formula in generic terms, you find the area of an equilateral triangle to be ...

A = (s²/4)√3 . . . . . where s is the side length

Another approach is to treat the figure as a 3-gon and use the n-gon area formula that uses the perimeter. That formula is derived here brainly.com/question/22386162

It is ...

A = P²/(4n·tan(180°/n))

For a triangle with side length s, this is ...

A = (3s)²/(4·3·tan(60°) = (s²/4)√3 . . . . same as above

Ipatiy [6.2K]3 years ago

6 0

Answer:

area of equilateral TRAINGLE =√3/4 A²=√3/4×4²=6.9mi² is your answer

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Shay is putting a square canvas painting in for her new room, and the area of the canvas painting is 196 cm².

Alika [10]

Answer:

The total distance around the canvas painting is 60 cm.

Step-by-step explanation:

The total distance around the canvas painting is 60 cm, we know this because, to find the perimeter of a square you add the length of all 4 sides together. To find the length of 1 side we take the square root of the area which is 196 cm², this equals 14 cm. To find the perimeter we add all 4 sides together, so 14+14+14+14=60 cm.

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2 years ago

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A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur

Deffense [45]

Answer:

$\dfrac{2s^3+136}{s}$

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = $34$ ft^3$

Volume of the box = $s^2h$

Then:

$s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}$

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box $= 2(s^2+sh+sh)$

$S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}$

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olga_2 [115]

Anwser is 10cm bc you multiply 10amd 3 then divided it

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4 years ago