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43 votes
43 votes
Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area?

Sierra has enough fencing to make three chicken coops shown each has the same perimeter-example-1
User Tamilan
by
3.1k points

1 Answer

27 votes
27 votes

Answer:

Top left triangle has the greatest area

Explanation:

Area of a triangle:

area = base × height / 2

a = bh/2

Top Left Triangle:

a = 6 × 5.2 / 2

a = 31.2 / 2

a = 15.6

Top Right Triangle:

a = 8 × 2.9 / 2

a = 23.2 / 2

a = 11.6

Bottom Left Triangle:

a = 2 × 7.9 / 2

a = 15.8 / 2

a = 7.9

Compare areas:

15.6 > 11.6 > 7.9

User Jim K
by
3.2k points