3. find the area of a shape with coordinates a (2, 6), b (2,0), c (8,0) and d (8,6).

A = 36^2 units

Step-by-step explanation:

Graph the points to help visualize the shape.

You can either count each individual unit now that you've graphed it or you can use the distance formula between points that are next to each other, like point A and point B, or B and C, etc.

The distance between:

We can conclude that this shape is a square as it has all equal side lengths and all right angles. The formula for the area of a square is s x s, where s means side.

So the area is 6 x 6 which is 36

Since it is area, the product must be squared.

A = 36^2 units

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1