Question

05.05)On the coordinate plane below, what is the length of AB?

A coordinate plane is shown with the following points A at negative 7, 4; B at 8, 4; C at 8, negative 3; D at negative 7, negative 3. All points are connected to create a rectangle.

Answer 1

The answer is 14

Explanation:

I got this answer because I took the same quiz and I am homeschooled too, I'm quite a few weeks ahead so this 14 is correct.

Answer 2

Therefore the length of AB is 15 unit.

Explanation:

Given:

A ≡ ( -7 , 4 ) ≡ (x₁ , y₁)

B ≡ ( 8 , 4 ) ≡ (x₂ , y₂)

C ≡ ( 8 , -3 )

D ≡ ( -7 , -3 )

To Find:

Length of AB =?

Solution:

Distance Formula between two points is given as

`l(AB) = \sqrt{((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2) )}`

Substituting the values we get

`l(AB) = \sqrt{((8-(-7))^(2)+(4-4)^(2) )}\\l(AB) = \sqrt{((15))^(2)+(0)^(2) )}\\l(AB)=√(225)=15\ unit`

Therefore the length of AB is 15 unit.