The problem asks to calculate the area of the given trapezoids and triangles. The statement says to measure with a ruler, but since I do not have the physical book I will measure in pixels on my screen. The final answers are in $mm^2$.

1. Problem Description

The problem asks to calculate the area of the given trapezoids and triangles. The statement says to measure with a ruler, but since I do not have the physical book I will measure in pixels on my screen. The final answers are in $mm^2$.

2. Solution Steps

First, I need to calculate the area of the first triangle on the top left.

The formula for the area of a triangle is

$A = (1/2) * base * height$.

By measuring in pixels, I find the base to be about 340 pixels and the height to be about 190 pixels.

$A = (1/2) * 340 * 190 = 32300$ pixels squared.

Now, the first trapezoid on the bottom left.

The formula for the area of a trapezoid is

$A = (1/2) * (base1 + base2) * height$.

By measuring in pixels, I find $base1$ to be about 250 pixels, $base2$ to be about 380 pixels, and the height to be about 170 pixels.

$A = (1/2) * (250 + 380) * 170 = (1/2) * 630 * 170 = 53550$ pixels squared.

Now, the second triangle on the top middle.

By measuring in pixels, I find the base to be about 140 pixels and the height to be about 260 pixels.

$A = (1/2) * 140 * 260 = 18200$ pixels squared.

Now, the second trapezoid on the bottom middle.

By measuring in pixels, I find $base1$ to be about 320 pixels, $base2$ to be about 450 pixels, and the height to be about 260 pixels.

$A = (1/2) * (320 + 450) * 260 = (1/2) * 770 * 260 = 100100$ pixels squared.

Now, the third triangle on the top right.

By measuring in pixels, I find the base to be about 170 pixels and the height to be about 260 pixels.

$A = (1/2) * 170 * 260 = 22100$ pixels squared.

Since the actual size and scale of the image are unknown, it is impossible to convert these values to $mm^2$. I will just provide the calculations in terms of pixels squared.

3. Final Answer

Triangle 1 Area = 32300 pixels squared

Trapezoid 1 Area = 53550 pixels squared

Triangle 2 Area = 18200 pixels squared

Trapezoid 2 Area = 100100 pixels squared

Triangle 3 Area = 22100 pixels squared