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Plzz helpppppp222!!!!!!!!!!!!

Plzz helpppppp222!!!!!!!!!!!!-example-1
User Goblinlord
by
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2 Answers

6 votes

Answer:

Explanation:

The rectangle has 4 corners of 90 degrees.

Here a rectangle is divided into two right triangles. In right-angled triangles, the opposite side at a 30-degree angle is half a chord...I replace x instead of length.. So x / 2 = 4--->x:8

The perimeter of a rectangle is equal to (length + width) × 2--->(8+4)×2=24m^2

User Anoush
by
8.1k points
4 votes

Answer:


\text{(D) }16√(3)\:\mathrm{m^2}

Explanation:

In all 30-60-90 triangles, the sides are in ratio
x:2x:x√(3), where
x is the side opposite to the 30 degree angle and
2x is the hypotenuse of the triangle.

The rectangle shown forms two 30-60-90 triangles. The side labelled 4 meters is opposite to the 30 degree angle. Therefore, the side on top must be
x√(3)\text{ for }x=4. Let the length of the top base be
w:


w=4√(3)

The area of a rectangle with length
l and width
w is given by
A=lw. Thus, the area of the rectangle is:


A=4\cdot 4√(3),\\A=\boxed{16√(3)\:\mathrm{m^2}}

User Kmdreko
by
7.6k points

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