Question

what is the area of the trapezoid?
Height = 4m
Top= 5m
Breath = 11m
Left side = 5m
Right Side = 5m
_____ Square Meters

Answer 1

To find the area of a trapezoid, we can use the formula:

\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]

Where:
- \(b_1\) = length of the top base,
- \(b_2\) = length of the bottom base,
- \(h\) = height of the trapezoid.

From your information:
- Height (h) = 4 m
- Top base (b₁) = 5 m
- Bottom base (b₂) = 11 m (which corresponds to your "Breath").

Now we can plug these values into the formula:

\[
\text{Area} = \frac{1}{2} \times (5 + 11) \times 4
\]

Calculating this:

\[
\text{Area} = \frac{1}{2} \times 16 \times 4 = 8 \times 4 = 32 \, \text{square meters}
\]

Thus, the area of the trapezoid is **32 square meters**.