In trapezoid PQRS, PQ || SR.

Question

What is the area of PQRS in
simplest radical form?
18, 24, 135 degrees, 30 degrees

Answer 1

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

Area = 1/2 * (sum of the lengths of the bases) * (height)

In this case, PQ and SR are the bases of the trapezoid, and the height is the perpendicular distance between the two bases.

Since PQ || SR, we know that the height is the same as the length of the perpendicular line connecting PQ to SR. Let's say this perpendicular distance is h.

Now, we need to use the information given to find the area of the trapezoid in simplest radical form.

We don't have the exact lengths of PQ and SR, but we can assume that they are equal. Let's say PQ = SR = x

Now, the area of the trapezoid is:

Area = 1/2 * (PQ + SR) * h
Area = 1/2 * (x + x) * h
Area = 1/2 * 2x * h
Area = x * h

Since we don't have any specific numbers to substitute in, we can leave the area in terms of x and h:

Area = x * h

So, the area of the trapezoid PQRS in simplest radical form is xh.