Question

On a coordinate plane, quadrilateral D G A R is shown. Point G is at (negative 8, 3), point A is (4, 8), point R is at (10, 0), and point (negative 2, negative 5).
A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden.

The perimeter of his garden is
meters.

Answer 1

Calculate the four side lengths and add them.

DG: distance between (−2, −5) and (−8, 3) → dx = 6, dy = 8 → length = √(6^2+8^2)=10
GA: between (−8, 3) and (4, 8) → dx = 12, dy = 5 → length = √(12^2+5^2)=13
AR: between (4, 8) and (10, 0) → dx = 6, dy = −8 → length = √(6^2+8^2)=10
RD: between (10, 0) and (−2, −5) → dx = −12, dy = −5 → length = √(12^2+5^2)=13

Perimeter = 10 + 13 + 10 + 13 = 46 meters.