Find the area of the polygon

Area of the polygon is 58.1

Step-by-step explanation:

The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the octagon to the base of one of its sides.

The formula for determining the area of a regular polygon is expressed as

Area = a² × n × tan 180/n

Where n represents the number of sides of the polygon.

n = 5

Apotherm = 4

Therefore,

Area = 4² × 5 × tan(180/5)

Area = 80 × tan 36

Area = 58.1

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