Knowing the area of each triangle, Tyler can determine the length of its side. Area of a triangle--- A = 1/2 * base * height Tyler can tell that the legs (base and the height) of each colored triangle are equal (we'll call this x) Tyler can add the legs of each triangle that makes up both the length and width of the sun room

Length of one leg on triangle BLUE: 2 = 1/2 * x * x 2 = 1/2 x^2 4 = x^2 x = 2

Length of one leg on triangle YELLOW: 4 = 1/2 * x^2 8 = x^2 x = SQRT(8) = 2SQRT(2)

Length of one leg on triangle GREEN: 8 = 1/2 * x^2 16 = x^2 x = 4

Length of the sun porch: Green + 2 blue + green + 2 blue 2 green + 4 blue 2*4 + 4*2 8 + 8 16 ft

Width of the sun porch: Green + 2 blue + green + 2 blue 2 green + 4 blue 2*4 + 4*2 8 + 8 16 ft