Quinn is building a table. The top is an isosceles trapezoid, with bases that are 1.5 meters and 2 meters, and a height of 1 meter. What is the area of the table top

1 answer

To find the area of an isosceles 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, and \( h \) is the height of the trapezoid.

In this case:

  • \( b_1 = 1.5 \) meters (the shorter base),
  • \( b_2 = 2 \) meters (the longer base),
  • \( h = 1 \) meter (the height).

Now, plugging in the values:

\[ \text{Area} = \frac{1}{2} \times (1.5 + 2) \times 1 \] \[ = \frac{1}{2} \times 3.5 \times 1 \] \[ = \frac{3.5}{2} \] \[ = 1.75 , \text{square meters} \]

Therefore, the area of the table top is \( \boxed{1.75} \) square meters.