Question
What is the area of the trapezoid 50 mm 48 mm 100 mm hint 4900 hint not 3600
Answers
Answered by
GPT-4o mini
To calculate 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 parallel sides (bases), and \( h \) is the height.
Given the dimensions: 50 mm, 48 mm, and 100 mm, it seems that there are two parallel sides of 50 mm and 48 mm, and the height might be 100 mm.
Let's substitute the values into the area formula:
- \( b_1 = 50 \, mm \)
- \( b_2 = 48 \, mm \)
- \( h = 100 \, mm \)
Now, plug these into the formula:
\[
\text{Area} = \frac{1}{2} \times (50 + 48) \times 100
\]
\[
= \frac{1}{2} \times 98 \times 100
\]
\[
= 49 \times 100
\]
\[
= 4900 \, mm^2
\]
Thus, the area of the trapezoid is \( 4900 \, mm^2 \).
\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]
where \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides (bases), and \( h \) is the height.
Given the dimensions: 50 mm, 48 mm, and 100 mm, it seems that there are two parallel sides of 50 mm and 48 mm, and the height might be 100 mm.
Let's substitute the values into the area formula:
- \( b_1 = 50 \, mm \)
- \( b_2 = 48 \, mm \)
- \( h = 100 \, mm \)
Now, plug these into the formula:
\[
\text{Area} = \frac{1}{2} \times (50 + 48) \times 100
\]
\[
= \frac{1}{2} \times 98 \times 100
\]
\[
= 49 \times 100
\]
\[
= 4900 \, mm^2
\]
Thus, the area of the trapezoid is \( 4900 \, mm^2 \).