SIWS Problem 1.3

The exact dimensions of the pool are not available, but the area A of the whole pool is given by the equation $$A=x^2+\frac{\pi x^2}{2}+8x^2+\frac{\pi x^2}{4}$$ .

Which part(s) of the expression for the area of the pool represents the area of the indoor part?

The exact dimensions of the pool are not available, but the area A of the whole pool is given by the equation $$A=x^2+\frac{\pi x^2}{2}+8x^2+\frac{\pi x^2}{4}$$ .

Which part(s) of the expression for the area of the pool represents the area of the outdoor part?

Part of the area of the outdoor part of the pool is given by the expression $$\frac{\pi x^2}{4}$$ . For what shape(s) might the expression represent the area?

Part of the area of the outdoor part of the pool is given by the expression $$x^2$$ . For what shape(s) might the expression represent the area?

This is a diagram of Otter Middle School's outdoor track. The shape of the interior region (shaded green) is a rectangle with a half-circle at the end. Which two expressions combine to give you the area of the interior region?

This is a diagram of Otter Middle School's outdoor track. The shape of the interior region (shaded green) is a rectangle with a half-circle at the end. Which expression gives the perimeter of the interior region? ( $$C=\pi d$$ )