Solving Equations Using All Methods: Using additional geometric shapes

Given: the length of a rectangle is 3 greater than its width.

The area of the rectangle is equal to 27 cm².

Calculate the length of the rectangle

$x=3$

The area of the rectangle below is equal to 22$x$.

Calculate $x$.

$x=36$

Given: the area of the triangle is equal to 2 cm² and the height of the triangle is 4 times greater than its base.

The area of the trapezoid is equal to 12 cm² (use x)

Calculate the value of x.

$x=2$

The area of a square 49 cm².

Calculate the side length of the square.

$x=7$

Below is a deltoid with a length 2 times its width and an area equal to 16 cm².

Calculate x.

$x=4$

Look at triangle ABC below.

$∢A+∢B=2∢C$

$∢B=3∢A$

Calculate the size of angle $\sphericalangle C\text{.}$

60°

$∢B$ is 2 times bigger than $∢A$ and$∢C$ is 3 times bigger than $∢B$.

Calculate $∢A$.

20°

The triangle ABC is shown below.

angle $∢A=70°$.

$\frac{∢B}{∢C}=\frac{1}{3}$

Calculate angle $∢C$.

82.5°

The area of the triangle below is equal to 10 cm² and its height is 5 times greater than its base.

Calculate X.

$x=2$