Question

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

Answer 1

Answer:

Step-by-step 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

Answer 2

Answer:

$\text{(D) }16\sqrt{3}\:\mathrm{m^2}$

Step-by-step explanation:

In all 30-60-90 triangles, the sides are in ratio $x:2x:x\sqrt{3}$, 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 $x\sqrt{3}\text{ for }x=4$. Let the length of the top base be $w$:

$w=4\sqrt{3}$

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

$A=4\cdot 4\sqrt{3},\\A=\boxed{16\sqrt{3}\:\mathrm{m^2}}$