Back to Use distance formula for area — Problem 4 · Task Set 32

Exercises: Compute Perimeters and Areas Using Coordinates

Show all work for each problem. Express exact answers using radical form unless a decimal approximation is requested. Label every answer with correct units.

Grade 10·20 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-gpe-b-7

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Fluency Practice

Apply the distance formula and area formulas to each figure.

$Tilted rectangle ABCD with vertices at (0,0), (4,2), (3,4), (-1,2).$

Rectangle $ABCD$ has vertices $A(0, 0)$ , $B(4, 2)$ , $C(3, 4)$ , and $D(-1, 2)$ .
The adjacent sides are perpendicular. What is the area of rectangle $ABCD$ ?