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Answer :
To find the length of the perimeter of the rectangle, we need to follow these steps:
1. Identify the given information:
- The area of the rectangle is 105 square inches.
- The length of one side of the rectangle is 7 inches.
2. Calculate the width of the rectangle:
- We can use the formula for the area of a rectangle:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
- Plug in the known values:
[tex]\[
105 = 7 \times \text{Width}
\][/tex]
- To find the width, divide both sides by 7:
[tex]\[
\text{Width} = \frac{105}{7} = 15 \text{ inches}
\][/tex]
3. Calculate the perimeter of the rectangle:
- Use the formula for the perimeter of a rectangle:
[tex]\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\][/tex]
- Substitute the known values:
[tex]\[
\text{Perimeter} = 2 \times (7 + 15)
\][/tex]
- Simplify the expression:
[tex]\[
\text{Perimeter} = 2 \times 22 = 44 \text{ inches}
\][/tex]
So, the length of the perimeter of the rectangle is 44 inches.
1. Identify the given information:
- The area of the rectangle is 105 square inches.
- The length of one side of the rectangle is 7 inches.
2. Calculate the width of the rectangle:
- We can use the formula for the area of a rectangle:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
- Plug in the known values:
[tex]\[
105 = 7 \times \text{Width}
\][/tex]
- To find the width, divide both sides by 7:
[tex]\[
\text{Width} = \frac{105}{7} = 15 \text{ inches}
\][/tex]
3. Calculate the perimeter of the rectangle:
- Use the formula for the perimeter of a rectangle:
[tex]\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\][/tex]
- Substitute the known values:
[tex]\[
\text{Perimeter} = 2 \times (7 + 15)
\][/tex]
- Simplify the expression:
[tex]\[
\text{Perimeter} = 2 \times 22 = 44 \text{ inches}
\][/tex]
So, the length of the perimeter of the rectangle is 44 inches.
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