Question
What is the area of the trapezoid Express the answer is a decimal to the 10th place 7 cm 5 cm 10 cm 6 cm
Answers
GPT-4o mini
To find the area of the trapezoid with the given dimensions, we first identify the lengths of the bases and the height. In your case, you'll consider the two longer sides as the bases, which are 7 cm and 5 cm. The height can be considered as the perpendicular distance between the bases, which is likely 6 cm since you have indicated two 10 cm lengths that could represent the non-parallel sides.
The area \( A \) of a trapezoid can be calculated using the formula:
\[
A = \frac{1}{2} \times (b_1 + b_2) \times h
\]
Where:
- \( b_1 \) and \( b_2 \) are the lengths of the two bases,
- \( h \) is the height of the trapezoid.
In this case:
- \( b_1 = 7 \) cm
- \( b_2 = 5 \) cm
- \( h = 6 \) cm
Plugging in the values:
\[
A = \frac{1}{2} \times (7 + 5) \times 6
\]
\[
A = \frac{1}{2} \times 12 \times 6
\]
\[
A = \frac{1}{2} \times 72
\]
\[
A = 36 \text{ cm}^2
\]
Thus, the area of the trapezoid is \( 36.0 \) cm² when expressed as a decimal to the tenth place.
The area \( A \) of a trapezoid can be calculated using the formula:
\[
A = \frac{1}{2} \times (b_1 + b_2) \times h
\]
Where:
- \( b_1 \) and \( b_2 \) are the lengths of the two bases,
- \( h \) is the height of the trapezoid.
In this case:
- \( b_1 = 7 \) cm
- \( b_2 = 5 \) cm
- \( h = 6 \) cm
Plugging in the values:
\[
A = \frac{1}{2} \times (7 + 5) \times 6
\]
\[
A = \frac{1}{2} \times 12 \times 6
\]
\[
A = \frac{1}{2} \times 72
\]
\[
A = 36 \text{ cm}^2
\]
Thus, the area of the trapezoid is \( 36.0 \) cm² when expressed as a decimal to the tenth place.