To find the area of the shaded region with the provided dimensions, we first need to understand the arrangement of these dimensions.
Given:
- Height (h) = 4 yards
- A base length = 12 yards
- Two other lengths = 5.5 yards each
It seems like these dimensions suggest a trapezoidal or rectangular area. Assuming they form a trapezoid, let's outline how to calculate its area, given that we have two parallel sides (or bases) and a height.
In terms of trapezoids, the formula for the area is:
\[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \]
Where:
- \( b_1 \) and \( b_2 \) are the lengths of the two bases.
- \( h \) is the height.
However, it’s unclear whether the base lengths of 5.5 yards are the widths of the sides or what configuration they form.
If we assume that 12 yd is the longer base (let's say it's on the bottom) and 5.5 yd is the shorter base (at the top), we can calculate the area as follows:
Given:
- \( b_1 = 12 , \text{yd} \) (longer base)
- \( b_2 = 5.5 , \text{yd} \) (shorter base)
- \( h = 4 , \text{yd} \)
Calculating the area of the trapezoid:
\[ \text{Area} = \frac{1}{2} \times (12 + 5.5) \times 4 \]
\[ = \frac{1}{2} \times 17.5 \times 4 \]
\[ = \frac{1}{2} \times 70 \]
\[ = 35 , \text{square yards} \]
Thus, the area of the shaded region is 35 square yards. If the configuration is different, please provide additional details.
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