To find the area of trapezoid PQRS, we need to first find the length of segment PS.
Using trigonometry, we can find the length of PS:
tan(135 degrees) = PS / 18
PS = 18 * tan(135 degrees)
PS = 18 * (-1)
PS = -18
Next, we can find the area of the trapezoid:
Area = 1/2 * (18 + 24) * (18 - (-18))
Area = 1/2 * 42 * 36
Area = 21 * 36
Area = 756
Therefore, the area of trapezoid PQRS is 756.
In trapezoid PQRS, . • At the top of the figure, horizontal segment P Q is labeled 18. • Segment Q R angles down to the right and is labeled 24. • Segment R S runs horizontally at the bottom of the figure. • Segment P S angles down and to the right. • Angle S is labeled 135 degrees. • Angle R is labeled 35 degrees. What is the area of PQRS in simplest radical form? (1 point) Responses Image with alt text: 144 plus 72 start root 3 end root Image with alt text: 72 plus 72 start root 3 end root Image with alt text: 288 start root 3 minus 216 end root
1 answer