A rectangle has an area of 36 cm2 . What are the possible dimensions of the rectangle? Use the formula sheet provided.(1 point) Responses 3 in ×10 in 3 in ×10 in 4 in ×5 in 4 in ×5 in 4 in × 9 in 4 in × 9 in 7 in × 8 in
The formula for the area of a rectangle is A = l * w, where A is the area, l is the length, and w is the width.
Given that the area is 36 cm2, we can find the possible dimensions of the rectangle by finding pairs of numbers that multiply to 36. These pairs are:
1. 1 cm x 36 cm
2. 2 cm x 18 cm
3. 3 cm x 12 cm
4. 4 cm x 9 cm
5. 6 cm x 6 cm
So, the possible dimensions for the rectangle are:
- 1 cm x 36 cm
- 2 cm x 18 cm
- 3 cm x 12 cm
- 4 cm x 9 cm
- 6 cm x 6 cm
Since the question asked in terms of inches, we convert the above dimensions to inches:
- 1 cm x 36 cm becomes 2.54 in x 14.17 in
- 2 cm x 18 cm becomes 5.08 in x 7.09 in
- 3 cm x 12 cm becomes 7.62 in x 4.72 in
- 4 cm x 9 cm becomes 10.16 in x 3.54 in
- 6 cm x 6 cm becomes 5 in x 5 in
Therefore, the possible dimensions of the rectangle in inches are:
- 2.54 in x 14.17 in
- 5.08 in x 7.09 in
- 7.62 in x 4.72 in
- 10.16 in x 3.54 in
- 5 in x 5 in
Hence, 4 in x 9 in is a possible dimension for the rectangle.