AMC 8 Daily Practice - Perimeter Tricks

Complete problem set with solutions and individual problem pages

Problem 5 Easy

In the backyard, there is a rectangular flower bed with a square vegetable garden inside it. Emily wants to put a fence around its outer edge. What is the perimeter of the flower bed in feet?

  • A.

    70

  • B.

    72

  • C.

    74

  • D.

    76

  • E.

    78

Answer:B

The perimeter of the rectangle = AD + DE+EH + HA=AB + BC + CD + DE+EF + FG + GH + HA.

Since AB + BC = 20, EF + FG=16, and BC = DE = FG = HA, AB = GH, CD = EF, we can calculate the perimeter of the rectangle as follows:

The perimeter of the rectangle

=AB + BC+GH + HA + EF+FG + CD + DE

=(AB + CD)\times2+(EF + FG)\times2

=2\times20 + 2\times16=40 + 32=72

So the perimeter of the rectangular flower bed is 72 feet.

Related Problems
Problem 3 AMC 8 Daily Practice - Perimeter Tricks
Problem 4 AMC 8 Daily Practice - Perimeter Tricks
Problem 6 AMC 8 Daily Practice - Perimeter Tricks
Problem 7 AMC 8 Daily Practice - Perimeter Tricks
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