Question

practice - area on the coordinate plane

1. find the area of parallelogram rstu.

round to the nearest tenth if necessary.
r(-3, -3), s(-2, 0), t(5, 0), u(4, -3)

Explanation:

Step1: Identify base length

The base can be the distance between S(-2, 0) and T(5, 0). Using the distance formula for horizontal line (since y - coordinates are same): $ \text{Base} = |5 - (-2)| = 7 $

Step2: Identify height

The height is the vertical distance between the base (on y = 0) and the line containing R and U (y = -3). So height $ = |0 - (-3)| = 3 $

Step3: Calculate area of parallelogram

Area of parallelogram is $ \text{Base} \times \text{Height} $, so $ 7 \times 3 = 21 $

Answer:

21