The diagram shows two rectangles. The combined area of both rectangles is

By considering the areas of the two rectangles, find an equation in the form that satisfies .

We know that :

⊕   Area of a Rectangle is given by : Length × Width

Let us calculate the Area of the Rectangle in the Left side of the figure

⇒   Area of Left Rectangle : (x - 3) (x + 2x)

⇒   Area of Left Rectangle : (x - 3) (3x)

⇒   Area of Left Rectangle : 3x² - 9x

Let us calculate the Area of the Rectangle in the right side of the figure

⇒   Area of the Right Rectangle : (x - 1)(x)

⇒   Area of the Right Rectangle : x² - x

Given : Combined area of both rectangles is 50 cm²

⇒   3x² - 9x + x² - x = 50

⇒   4x² - 10x = 50

⇒   2x² - 5x - 25 = 0

Comparing the above equation with ax² + bx + c = 0,

we can notice that :

→   a = 2

→   b = -5

→   c = -25

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )