What is the area of the composite figure?

264 cm²

Step-by-step explanation:

The composite figure is formed by: A square, a trapezium and a rectangle.

The area of the composite figure is the sum of the areas of: the square, the trapezium and the rectangle.

The formula for calculate the area of a square is:

Where s is the side lenght.

The side lenght of the square in the figure is:

The formula for calculate the area of a trapezium is:

Where B is the larger base, b is the smaller base and h is the height.

The dimensions of the trapezium of the figure are:

The formula for calculate the area of a rectangle is:

Where w is the width and l is the length.

The dimensions of the rectangle of the figure are:

Therefore, substituting values, you obtain the following result:

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1