Question

square on the grid in problem 1 measures 5 ft by 5 ft. use the length of corresponding line nts on the original and scaled figures to complete the table.
ginal side length (ft) 5 10 15 20 ( \times )
scaled side length (ft) 1 2 3 4
ure is scaled by a factor of 4. apply this scale factor to complete the table.
original side length (ft) 6 2 ( \times 4 )

Explanation:

First Table (Assuming Scale Factor is 1? Wait, no, maybe the first part: Wait, the first table: original side length is 5,10,15,20. Wait, maybe the scale factor is 1? No, wait, maybe the first problem (Problem 1) had a scale, but since it's 5ft by 5ft square, maybe the scaled side length is same as original? Wait, no, maybe the first table: Let's check the second table: it's scaled by factor 4. For the first table, maybe the scale factor is 1? Wait, no, the first table's original side length is 5,10,15,20. Let's see the filled numbers: 1,2,3,4. Wait, 5 divided by 5 is 1, 10 divided by 5 is 2, 15 divided by 5 is 3, 20 divided by 5 is 4. Oh! So the scale factor here is $\frac{\text{scaled side length}}{\text{original side length}} = \frac{1}{5}$? Wait, no, original is 5, scaled is 1: 5 (1/5) =1. 10(1/5)=2, 15(1/5)=3, 20(1/5)=4. So scale factor is 1/5. But let's do the second table: scaled by factor 4. So original side length 6: scaled is 64=24; original 2: scaled is 24=8. Let's complete both tables.

First Table:

Step1: For original 5 ft

Scaled = 5 * (1/5) = 1 ft

Step2: For original 10 ft

Scaled = 10 * (1/5) = 2 ft

Step3: For original 15 ft

Scaled = 15 * (1/5) = 3 ft

Step4: For original 20 ft

Scaled = 20 * (1/5) = 4 ft
Scale factor: 1/5 (since 5 * 1/5 =1, etc.)

Second Table (Scaled by factor 4):

Step1: Original 6 ft

Scaled = 6 * 4 = 24 ft

Step2: Original 2 ft

Scaled = 2 * 4 = 8 ft

Step3: Let's say original is x, scaled is 4x. If we need to fill more, but the table has two blanks. Let's assume we can put any original, say 3 and 4:

Original 3: Scaled = 3*4=12
Original 4: Scaled = 4*4=16

But the second table's original side length has 6,2, then two blanks. Let's complete with 64=24, 24=8, and then maybe 34=12, 44=16 (or any numbers, but likely the problem expects using the scale factor 4).

First Table Completion:

Original side length (ft)	5	10	15	20

Scale factor: $\frac{1}{5}$ (since $5 \times \frac{1}{5} = 1$, $10 \times \frac{1}{5} = 2$, etc.)

Second Table Completion:

Original side length (ft)	6	2	3	4

(Or any original values, but using scale factor 4: scaled = original * 4)

If the second table's original side length blanks are to be filled with original values, but the problem says "apply this scale factor to complete the table", so for original 6: 64=24; original 2: 24=8; then for the next two, let's say original 5: 54=20; original 7:74=28, but the problem might just need the scaled values for given originals or fill originals. Wait, the second table's original side length has 6,2, then two blanks (original), and scaled is original *4. So if we take original as 3 and 4, scaled is 12 and 16.

Final Answers for Tables:

First Table Scaled Lengths: 1, 2, 3, 4 (for original 5,10,15,20)

Second Table Scaled Lengths (for original 6,2,3,4): 24, 8, 12, 16 (or other originals, but using scale factor 4)

If the question is to complete the tables:

First table scaled side lengths: 1, 2, 3, 4 (scale factor 1/5)

Second table scaled side lengths: 24 (for 6), 8 (for 2), and for two more originals (say 5 and 7), scaled would be 20 and 28, but likely the problem expects using the scale factor 4 on the given originals (6 and 2) and maybe two more. But based on the given, let's do the first table and second table as per scale.

for First Table:

Step1: Original 5 ft

Scaled = 5 * (1/5) = 1 ft

Step2: Original 10 ft

Scaled = 10 * (1/5) = 2 ft

Step3: Original 15 ft

Scaled = 15 * (1/5) = 3 ft

Step4: Original 20 ft

Scaled = 20 * (1/5) = 4 ft

for Second Table:

Step1: Original 6 ft

Scaled = 6 * 4 = 24 ft

Step2: Original 2 ft

Scaled = 2 * 4 = 8 ft

Step3: Original 3 ft (example)

Scaled = 3 * 4 = 12 ft

Step4: Original 4 ft (example)

Scaled = 4 * 4 = 16 ft

Answer:

First Table Scaled Side Lengths: 1, 2, 3, 4 (for original 5, 10, 15, 20)
Second Table Scaled Side Lengths: 24, 8, 12, 16 (for original 6, 2, 3, 4; or other originals with scale factor 4)

(Note: The first table's scale factor is 1/5, second is 4. The filled numbers in the first table (1,2,3,4) suggest original is 5 times scaled, so scale factor 1/5. The second table uses scale factor 4, so scaled = original *4.)