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.

46

Step-by-step explanation:

Given that the coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5).

You need to find length GA, GD, RA and RD by using the formula

L = sqrt[ ( X2 - X1)^2 + ( Y2 -Y1 )^2 ]

Length GA will be

L = sqrt [ ( 8-3 )^2 + ( 4+8 )^2 ]

L = sqrt ( 5^2 + 12^2 )

L = sqrt(25 + 144)

L = sqrt (169)

L = 13.

Length GD will be

L = sqrt [ ( -5-3 )^2 + ( -2+8 )^2 ]

L = sqrt ( -8^2 + 6^2 )

L = sqrt(64 + 36)

L = sqrt (100)

L = 10.

Length RA will be

L = sqrt [ ( 10-4 )^2 + ( 0-8 )^2 ]

L = sqrt ( 6^2 + 8^2 )

L = sqrt(36 + 64)

L = sqrt (100)

L = 10.

Length RD will be

L = sqrt [ ( 10+2 )^2 + ( 0+5 )^2 ]

L = sqrt ( 12^2 + 5^2 )

L = sqrt(144 + 25)

L = sqrt (169)

L = 13.

The perimeter P will be

Substitute all the parameters into the formula below

P = GA + GD + RA + RD

P = 13 + 10 + 10 + 13

P = 46

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