Question

Write an expression for the area of square 5 by combining the areas of the four triangles and the one square.

Answer 1

2ab + c²

Explanation:

Please find attached a diagram of square 5

Area of a triangle = 1/2 x ( base x height)

(1/2 x (a xb) ) x 4 = 2ab

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

a² + b² = c²

a² + 2ab+ b² = 2ab + c²