To solve the given problem, we need to determine which of the provided dimensions of the parallelogram yields an area closest to 20 square inches. The area \(A\) of a parallelogram is given by the formula:
[tex]\[A = b \times h\][/tex]
Where:
- \(b\) is the base of the parallelogram.
- \(h\) is the height of the parallelogram.
We are given four options and need to calculate the area for each set of dimensions to find the one that is closest to 20 square inches.
Let's go through the options one by one:
### Option A: \(b = 4.00\) inches, \(h = 5.00\) inches
[tex]\[
A = 4.00 \times 5.00 = 20.00 \, \text{square inches}
\][/tex]
### Option B: \(b = 3.06\) inches, \(h = 6.54\) inches
[tex]\[
A = 3.06 \times 6.54 = 20.0124 \, \text{square inches}
\][/tex]
### Option C: \(b = 6.22\) inches, \(h = 3.23\) inches
[tex]\[
A = 6.22 \times 3.23 = 20.0906 \, \text{square inches}
\][/tex]
### Option D: \(b = 7.78\) inches, \(h = 2.57\) inches
[tex]\[
A = 7.78 \times 2.57 = 19.9946 \, \text{square inches}
\][/tex]
### Comparing the Results
- Option A: 20.00 square inches
- Option B: 20.0124 square inches
- Option C: 20.0906 square inches
- Option D: 19.9946 square inches
All these options are very close to 20 square inches, but let's consider the number given in the problem statement:
- Option A is exactly 20.
- Options B and C are slightly above 20.
- Option D is slightly below 20.
Since we are looking for the dimensions closest to 20 square inches, the exact value of 20 square inches from Option A is our best match.
Therefore, the correct answer is:
A. [tex]\(b = 4.00\)[/tex] inches, [tex]\(h = 5.00\)[/tex] inches.
