Adirect variation goes through the points (1,4) and (2, 8) the constant variation is

Given points: (1,4) and (2,8)

Direct Variation:

The statement y varies directly as x, which means that when x increases, y increases by the same factor.

In other words we can say that, y and x always have the same ratio;

i.e, ; where k is the constant of variation.

or we can write this as :                              ......[1]

Substitute the value of given points in [1];

For (1,4)

put x =1 and y = 4 we get;

or

k =4

For(2,8)

put x = 2 and y= 8 in [1];

Divide both sides by 2;

4 = k or k =4

As you can see that a direct variation goes through the points (1,4) and (2,8) , the constant variation in both cases is, k =4.

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.