Question

Please help what is cm? Will mark BRAINLIEST ASAP!!

Answer 1

Answer:

8.7 cm squared.  Hope this helps.

Answer 2

Answer:

259.8 cm²

Step-by-step explanation:

Finding the side of the Hexagon

You can split the hexagon into two trapeziums. The height of each trapezium is 5√3 cm. To find the size of each side we need to form an equation using Pythagoras theorem, we can keep the side of the hexagon as x:

x² = (5√3)² + $(\frac{x}{2}) ^{2}$

x² = 75 + $\frac{x^{2} }{4}$

$\frac{3}{4} x^{2}$ = 75

x² = 100

x = 10 cm

Finding the area

Now that we know the length of the side of the hexagon we can find it's area. So the equation to find the area of a trapezium is:

$area = \frac{1}{2}(a+b)$ × h

area = $\frac{1}{2}$(10 +20) × 5√3 - (20 as b because the line through the half of the hexagon is double the length of the side)

So the area of the trapezium is 75√3

And because there are two trapeziums in a hexagon we double the answer to get the area: 75√3 × 2 = 150√3

150√3 = 259.8 cm²