Question

Mike used a coordinate plane to design the patio shown at the right. Each unit on the grid represents 1 yard. To buy materials to build the patio, Mike needs to know its perimeter. What is the perimeter of the patio?

Answer 1

The perimeter of the patio which is the sum of all sides of the patio is: 22 units.

Recall:

• Perimeter is the sum of all segments or sides of a figure/shape.

Given:

A (3, 2)

B (3, 4)

C (7, 4)

D (7, 7)

E (9, 7)

F (9, 2)

• Thus:

Perimeter of the Patio = AB + BC + CD + DE + EF + FA

AB = |4 - 2| = 2 units

BC = |7 - 3| = 4 units

CD = |7 - 4| = 3 units

DE = |9 - 7| = 2 units

EF = |2 - 7| = 5 units

FA = |9 - 3| = 6 units

Perimeter = 2 + 4 + 3 + 2 + 5 + 6 = 22 units

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