Harry draws a rectangle with an area of 36 square centimeters. Choose Yes or No to tell if the lengths are possible side lengths of Harry's rectangle.
4 cm by 8 cm
Choose...
3 cm by 12 cm
Choose...
4 cm by 9 cm
Choose...
6 cm by 9 cm
Choose...
4 cm by 8 cm
Yes
3 cm by 12 cm
No
4 cm by 9 cm
No
6 cm by 9 cm
Yes
4 cm by 8 cm: Yes
3 cm by 12 cm: No
4 cm by 9 cm: No
6 cm by 9 cm: Yes
To determine if the given lengths are possible side lengths of Harry's rectangle, we need to find the factors of the given area of 36 square centimeters.
1. For the first option, 4 cm by 8 cm, the area is 4 cm * 8 cm = 32 square centimeters. This does not match the given area of 36 square centimeters. Therefore, the first option is not possible side lengths.
2. For the second option, 3 cm by 12 cm, the area is 3 cm * 12 cm = 36 square centimeters. This matches the given area of 36 square centimeters. Therefore, the second option is possible side lengths.
3. For the third option, 4 cm by 9 cm, the area is 4 cm * 9 cm = 36 square centimeters. This matches the given area of 36 square centimeters. Therefore, the third option is possible side lengths.
4. For the fourth option, 6 cm by 9 cm, the area is 6 cm * 9 cm = 54 square centimeters. This does not match the given area of 36 square centimeters. Therefore, the fourth option is not possible side lengths.
Based on these calculations, the second option (3 cm by 12 cm) and the third option (4 cm by 9 cm) are possible side lengths of Harry's rectangle.