Question

What is the area of the trapezoid?
height 1.2 in
bottom 0.7 in
top 1.3 in
right 1.3 in
square meters

Answer 1

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

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

where \( b_1 \) and \( b_2 \) are the lengths of the two bases (the top and bottom), and \( h \) is the height.

In your case:
- \( b_1 \) (top) = 1.3 inches
- \( b_2 \) (bottom) = 0.7 inches
- \( h \) (height) = 1.2 inches

Plugging in these values:

\[
\text{Area} = \frac{1}{2} \times (1.3 + 0.7) \times 1.2
\]
\[
= \frac{1}{2} \times 2.0 \times 1.2
\]
\[
= 1.0 \times 1.2
\]
\[
= 1.2 \text{ square inches}
\]

Now, to convert square inches to square meters, use the conversion factor:

\[
1 \text{ square inch} = 0.00064516 \text{ square meters}
\]

Thus, to convert \( 1.2 \) square inches to square meters:

\[
\text{Area in square meters} = 1.2 \times 0.00064516 \approx 0.0007742 \text{ square meters}
\]

Therefore, the area of the trapezoid is approximately **0.0007742 square meters**.