Question

(I'm so lost I need help with this question!!!)

Answer 1

Answer:

1. 5 cm

2. 7.07 cm

Step-by-step explanation:

According to your provided information, the area of a square is A = s^2. They also tell you that the area of the square in the picture is 25cm^2. That means that, to find the length of any side (s), you just need to plug 25 in as the area. So

25 = s^2 ... Take the square root of both sides to isolate s.

s = ±5 ... But since we're talking about length, we only take the value positive five. (Length can't be a negative value.)

Now we have the length of any side as 5 cm, and they want us to find the length of the diagonal. We can use the Pythagorean theorem, a^2 + b^2 = c^2, where c will be the diagonal we want. We can do this because we know that ANY side of this square is s = 5, so if we plug that into a^2 + b^2 = c^2, we get

5^2 + 5^2 = c^2 ... 5 times 5 is 25

25 + 25 = c^2 ... Add

50 = c^2 ... Take the square root of both sides

c = √50 ... Use a calculator

c ≈ 7.07

Answer 2

Answer:

The side length is 5 cm

The diagonal is 5 sqrt(2) cm

Step-by-step explanation:

A = s^2

We know the area is 25

25 = s^2

Take the square root of each side

sqrt(25)= sqrt(s^2)

5 =s

The side length is 5 cm

2  We use the Pythagorean theorem a^2 + b^2 = c^2.  to find the diagonal

a^2 + b^2 = c^2

5^2 + 5^2 = c^2

25+25 = c^2

50 = c^2

Take the square root of each side.

sqrt(50) = sqrt(c^2)

sqrt(25*2) = sqrt(c^2)

sqrt(25) sqrt(2) = c

5sqrt(2) =c

The diagonal is 5 sqrt(2)