Question

What is the area of the trapezoid 50 mm 48 mm 100 mm hint 4900

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

From your question, we can interpret the given dimensions as follows:

- Let \( b_1 = 50 \) mm (one base)
- Let \( b_2 = 100 \) mm (second base)
- Let \( h = 48 \) mm (height)

Now we can substitute these values into the formula:

\[
\text{Area} = \frac{1}{2} \times (50 + 100) \times 48
\]

First, calculate the sum of the bases:

\[
50 + 100 = 150
\]

Now multiply by the height and then by \(\frac{1}{2}\):

\[
\text{Area} = \frac{1}{2} \times 150 \times 48
\]

Calculating that step by step:

1. \( 150 \times 48 = 7200 \)
2. \( \frac{1}{2} \times 7200 = 3600 \)

Thus, the area of the trapezoid is:

\[
\text{Area} = 3600 \, \text{mm}^2
\]

The hint "4900" appears to be incorrect based on the calculations, and the area calculated is indeed \( 3600 \, \text{mm}^2 \).