Answer:
35.78 units^2 (to 2 d.p.)
Step-by-step explanation:
First we want to find out the area of one side
To find that we use the formula:
height x base x 1/2
We already know that the base is 4 units, so now we must find the height. To do this we need to use Pythagoras theorem.
We rule a line in the middle of the triangle to make an right angled triangle.
Then we do
[tex]\sqrt{4^{2} + 2^{2}[/tex]
This is our height.
Now we substitute it into our triangle formula.
4 × [tex]\sqrt{20}[/tex] x 1/2
(don't round this up yet as it can alter the final answer)
Now we know the area of one side.
To find the surface area
( 4 × [tex]\sqrt{20}[/tex] x 1/2 ) x 4 (as there are 4 sides).
You will end up with 35.78 units^2
