Question

# What expression represents the total area of the four white triangles?

Hint:

### The methods used to find the product of binomials are called special products.

Multiplying a number by itself is often called squaring.

For example (*x* + 3)(*x* + 3) = (*x* + 3)2

Area of a square = (side)2

## The correct answer is: 12x + 36

### The area of the outer square of side x+6 cm = (x+6)^{2}

(x+6)^{2} = (x+6)(x+6) = x(x+6) +6(x+6)

= x(x) + x(6) +6(x) +6(6)

= x^{2} + 6x + 6x + 36

= x^{2} + 12x + 36

The area of the inner square of side x cm = x^{2}

Now, Total area of four white triangles = Area of the outer square - area of the inner square

= x^{2} + 12x + 36 - x^{2}

= 12x + 36

Final Answer:

Hence, the expression for the total area of the four white triangles is 12x + 36.

^{2}= (x+6)(x+6) = x(x+6) +6(x+6)

^{2}+ 6x + 6x + 36

^{2}+ 12x + 36

The area of the inner square of side x cm = x

^{2}

Now, Total area of four white triangles = Area of the outer square - area of the inner square

^{2}+ 12x + 36 - x

^{2}

Final Answer:

Hence, the expression for the total area of the four white triangles is 12x + 36.

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