Help me please on my math homework can you also tell me how u worked it out..?

Question

1. A square has an area of 10,000 m squared. Find its Preimeter...

2. A Triangle has an Area of 52 yd to te second power (squared) and a height of 13 yd find its base.

Answer 1

I'm really an 'english' kind of person, so I'd prefer to explain this to you in real language.  

1.  The area of a square is Area=base*height, but since the base and height are the same in a square, it is just side^2 (squared).  Therefore, s^2=10,000  if you already know it, you know that 100^2=10,000, otherwise you can just take the square root of 10,000.

s=√10,000=100

now that you know the side length (100), and that there are four sides to a square, just take 4s=4(100)=400 to get the perimeter.

2. The formula for the area of a triangle is Area=1/2*base*height.  Working from that, we get (really drawn out, but this is how I was always made to show my work)...

52=1/2*b*13

52=(1/2*13)b  <--commutative property (you can impress your teacher by saying that, basically it's that you can move the numbers around when you're multiplying them)

52=6.5b

52/6.5=6.5b/6.5

52/6.5=b

8=b

Answer 2

1. Perimeter = 400

2. 4

Answer 3

square has area of s^2

10,000 = s^2 ..... S= 100

perimeter = 4s .....=400

area of triangle = 1/2(b*H)

52 = 1/2(13 *b)

104 = 13 * b

b = 104/13 = 8