1.2.2 Tutorial Solutions

1)

Let’s look at the rectangle first:

The rectangle formula for perimeter states adds length and width, then multiply the end product by 2, so…

P = 2(12 + 9)

P = 2(21)

P = 42 cm

Then, the square:

The square formula for perimeter states that it is length multiplied by four, so…

P = 4(10)

P = 40 cm

So the solution is, Rectangle > Square

2)

Let’s look at the circle first:

The circle formula for perimeter (circumference) states to multiply the diameter by π. The π is approximately 3.14~.

C = 13π

C = 13 * 3.14

C = 40.82 cm

Then, the triangle:

The triangle’s perimeter is just adding on all three lengths.

P = 12 + 9 + 15

P = 36 cm

So the solution is Circle > Triangle

3)

Let’s look at the circle first

The circle formula for area states to square the radius, and multiply the outcome by π. Once again, π is approximately 3.14~

A = (46/2)²π

A = 23²π

A = 529π

A = 1661.06 cm²

Then, the square:

The square’s area formula states to square the lengths.

A = 40.5²

A = 1640.25

So the solution is Circle > Square