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Answer :
To determine the area of a rhombus when you know the lengths of its diagonals, you can use the formula for the area of a rhombus:
[tex]\[ \text{Area} = \frac{\text{Diagonal 1} \times \text{Diagonal 2}}{2} \][/tex]
In this problem, the diagonals of the rhombus measure 22 inches and 14 inches.
1. Identify the measurements:
- Diagonal 1 = 22 inches
- Diagonal 2 = 14 inches
2. Substitute the diagonal lengths into the area formula:
[tex]\[ \text{Area} = \frac{22 \times 14}{2} \][/tex]
3. Calculate the product of the diagonals:
- [tex]\( 22 \times 14 = 308 \)[/tex]
4. Divide the product by 2 to find the area:
[tex]\[ \text{Area} = \frac{308}{2} = 154 \][/tex]
So, the area of the rhombus is 154 square inches.
[tex]\[ \text{Area} = \frac{\text{Diagonal 1} \times \text{Diagonal 2}}{2} \][/tex]
In this problem, the diagonals of the rhombus measure 22 inches and 14 inches.
1. Identify the measurements:
- Diagonal 1 = 22 inches
- Diagonal 2 = 14 inches
2. Substitute the diagonal lengths into the area formula:
[tex]\[ \text{Area} = \frac{22 \times 14}{2} \][/tex]
3. Calculate the product of the diagonals:
- [tex]\( 22 \times 14 = 308 \)[/tex]
4. Divide the product by 2 to find the area:
[tex]\[ \text{Area} = \frac{308}{2} = 154 \][/tex]
So, the area of the rhombus is 154 square inches.
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