The triangle inscribed within square abcd has, as its base, side ad, and has a height of 6 cm. if the area of the triangle is 21 cm2, what is the area of the shaded region?

Draw the diagram shown below to illustrate the problem.

Let x = length of a side of the enclosing square.

The area of the triangle is 21 cm², therefore

(1/2) * x*6 = 21

3x = 21

x = 7 cm

The area of the square is

7*7 = 49 cm²

The area of the shaded region is

49 - 21 = 28 cm²

Answer: 28 cm²