Question

11

I
Reynaldo has a square fish pond in his back yard.
The pond is 2 feet on each side. He would like to
border the pond with 3 in. by 3 in. square tiles,
alternating between squares of yellow and green
tiles, as shown.

Answer 1

See below

Explanation:

The question in full is attached

The pond is 2 feet = 2*12 inches = 24 inch each side

Each side is 24/3 = 8 tiles long

The first border line (yellow) has:

• (8+1)*4 = 36 tiles

The second line (green) has:

• (9 + 1)*4 = 40 tiles and so on

Each following line has 4 more tiles

a) As AP sequence it looks as:

• 36, 40, 44, ..

So

• the first term = 36
• common difference = 4

b) Considering the alternating colors,

Yellow sequence:

• 36, 44, 52, ..
• The first term = 36
• Common difference = 8

Green sequence:

• 40, 48, 56 ..
• The first term = 40
• Common difference = 8