Question

A rectangle on a coordinate plane has vertices L(0.6), M3, 6), N80), and O(0, 0) What are the dimensions of the

rectangle?
O
• The base is 6 and the height is 8
• The base is 8 and the height is 6
• The base is 6 and the height is 6
• The base is 8 and the height is 8​

Answer 1

• The base is 8 and the height is 6

Explanation:

A rectangle has two dimensions:

The base, which is the distance between the points who have the same value of y.

The height, which is the distance between the points who have the same value of x.

Distance between 2 points:

Points (a,b) and (c,d).

`D = \sqrt{(c-a)^(2) + (d-b)^(2)}`

I suppose there was a small typing mistake, as these points do not make a rectangle.

I will say that we have these following points:

L(0,6), M(8,6), N(8,0), O(0,0).

Base:

Same value of y.

L(0,6), M(8,6), or N(8,0) and O(0,0).

They will have the same result, will use the second.

`D = \sqrt{(8-0)^(2) + (0-0)^(2)} = √(64) = 8`

The base is 8.

Height:

Same value of x.

L(0,6), O(0,0) or M(8,6) and N(8,0).

`D = \sqrt{(8-8)^(2) + (6-0)^(2)} = √(36) = 6`

The height is 6.

So the correct answer is:

• The base is 8 and the height is 6