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Answer :
To solve the problem of finding the perimeter of the rectangle, follow these steps:
1. Understand the given values:
- The area of the rectangle is 105 square inches.
- The length of one side of the rectangle is 7 inches.
2. Find the length of the other side:
- Use the formula for the area of a rectangle:
[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]
- Here, the length is 7 inches, so we can solve for the width:
[tex]\[ 105 = 7 \times \text{width} \][/tex]
- To find the width, divide the area by the given length:
[tex]\[ \text{width} = \frac{105}{7} = 15 \text{ inches} \][/tex]
3. Calculate the perimeter:
- The formula for the perimeter of a rectangle is:
[tex]\[ \text{Perimeter} = 2 \times (\text{length} + \text{width}) \][/tex]
- Now, substitute the values you know:
[tex]\[ \text{Perimeter} = 2 \times (7 + 15) = 2 \times 22 = 44 \text{ inches} \][/tex]
Therefore, the length of the perimeter is 44 inches.
1. Understand the given values:
- The area of the rectangle is 105 square inches.
- The length of one side of the rectangle is 7 inches.
2. Find the length of the other side:
- Use the formula for the area of a rectangle:
[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]
- Here, the length is 7 inches, so we can solve for the width:
[tex]\[ 105 = 7 \times \text{width} \][/tex]
- To find the width, divide the area by the given length:
[tex]\[ \text{width} = \frac{105}{7} = 15 \text{ inches} \][/tex]
3. Calculate the perimeter:
- The formula for the perimeter of a rectangle is:
[tex]\[ \text{Perimeter} = 2 \times (\text{length} + \text{width}) \][/tex]
- Now, substitute the values you know:
[tex]\[ \text{Perimeter} = 2 \times (7 + 15) = 2 \times 22 = 44 \text{ inches} \][/tex]
Therefore, the length of the perimeter is 44 inches.
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