Perfect Square
22
What is 4
1.52
What is 2.25
22 + 32
What is 13
Square root of 36
What is 6
A square picture frame has an area of 235 sq inches. Will the length of the frame be a decimal number, or a whole number?
Decimal. 235 is not a perfect square.
52
What is 25
6.32
What is 39.69
32 + 42
What is 25
Bonus! What is the EXACT square root of 8?
Square root of 225
What is 15
A square pool has a length of 25 ft. Todd wants to get the bottom tiled with 1 sq ft tiles. If the tiles cast $2 per sq ft, how much will it cost to tile the floor of the pool?
$1250. 25 ft x 25 ft = 625 sq ft, 625 x $2 = $1250
One number in the list below is NOT A perfect square
1, 12, 25, 64, 100
What is 12
1x1=1
5x5=25
8x8=64
10x10=100
One number in the list below will NOT produce a perfect square when squared.
0, 4, 11, 12.8, 15
What is 12.8
Two perfect squares that sum to 34
What are 3 and 9?
32=9
52=25
9+25=34
The square root of 10,000
What is 100
Bonus! Square root of 1,000,000?
A square bulletin board has a length of 5 ft. Mr. Singh has posters with an area of 2 sq ft each. How many posters can Mr. Singh fit on his board without any overlapping?
12 posters. 5 ft x 5 ft = 25 sq ft
25 sq ft / 2 sq feet = 12.5
122
What is 144
11.72
What is 136.89
112 + 82 =
What is 185
Square root of 6400
What is 80
Ellen bought 4 posters. Their areas are 36 sq inches, 144 sq inches, 188 sq inches, and 225 sq inches, respectively. Which of the posters cannot be a square with whole number side-lengths? How do you know?
The 188 sq inch poster. 188 is not a perfect square.
82
What is 64
12.52
What is 156.25
122 + 12
What is 145
Square root of 121
What is 11
Elliot buys a square rug for his square living room. His living room has an area of 289 sq ft. If the rug has a length of 13 ft, will it fit in the living room?
Yes. The rug will have an area of 169 sq ft.