Question

Eeek!! I don’t get this!

Answer 1

If the area is 1 sq meter, then that means that each of the smaller squares are 1/9 meters long and wide, since the square root of 1 is 1. To find the area of a right triangle, use the formula a*b/2. This makes 1/18 square meters for each triangle.

A.) 1/18 * 6 =  6/18 or 1/3 sq. meters

B.) The mini squares in this problem are made up of two right triangles, so the area of a mini square is twice that of a triangle. If we have nine mini squares, we have 18 triangles, which makes the 1 * 1 single square. What you should do is add half the area of a single square to the original:

18/2 = 9

So we add 9 to the eighteen right triangles, which means 27 triangles to make 1 1/2 square meters.

Hope this helped.

Answer 2

Wow. They worked hard to trip you up on this one!

First, don't let the word "decompose" spook you.

We are basically dividing 1 sq m into 9 equal pieces.

So each piece is 1/9 of a sq m.

Then, we make each small piece 1/2 of a square.

1/9 x 1/2 = 1/18.

Each triangle will be 1/18 of a sq meter.

So 6 will be 6/18 or 1/3 of a sq. meter

To figure 1.5 square meters out of triangles...

There are 2 triangles per small square, and 9 small squares per sq meter - and then you add 50% more.

(2 x 9) + (2 x 9 x .5) = 27 triangles