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What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
100 m
@MathletePearcewww.tapintoteenminds.com
100 m
25 m
25 m
25 m
Perimeter =
What is the maximum 4-sided rectangular area we can enclose given 100 m of rope?
25 m
@MathletePearcewww.tapintoteenminds.com
100 m
25 m
25 m
25 m
Perimeter =
A SQUARE WILL ALWAYS MAXIMIZE AREA OF 4-SIDED
ENCLOSURES
What is the maximum 4-sided rectangular area we can enclose given 100 m of rope?
25 m
@MathletePearcewww.tapintoteenminds.com
100 m
25 m 25 m
25 mPerimeter =
What is the maximum 4-sided rectangular area we can enclose given 100 m of rope?
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
100 m
25 m 25 m
25 mPerimeter =
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
100 m
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
5 m 5 m90 m
25 m
Area = (90 m)(5 m)
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
5 m 5 m90 m
25 m
Area = 450 m25 m 5 m450 m2
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
5 m 5 m90 m
25 m
Width Area
Area = 450 m2450 m25 m 5 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
5 m 5 m90 m
25 m
Width Area
Area = 450 m2
450 m25 m5 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
Width Area
450 m25 m5 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
70 m
25 m
Width Area
450 m25 m5 m15 m 15 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
70 m
25 m
Width Area
Area = 1,050 m2
450 m25 m5 m15 m 15 m1,050 m215 m 15 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
70 m
25 m
Width Area
Area = 1,050 m2
450 m25 m5 m15 m 15 m1,050 m215 m15 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
Width Area
450 m25 m5 m1,050 m215 m15 m25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
3 sides
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
3 sides= 8.3 m8.3 m8.3 m8.3 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
3 sides=
8.3 m8.3 m8.3 m
8.3 m
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
3 sides=
8.3 m
8.3 m
8.3 m
8.3 m
@MathletePearcewww.tapintoteenminds.com
25 m
25 m 25 m
25 m
25 m
3 sides= 8.3 m
8.3 m
8.3 m8.3 m
@MathletePearcewww.tapintoteenminds.com
25 m
33.3 m 33.3 m
33.3 m
25 m
3 sides= 8.3 m
@MathletePearcewww.tapintoteenminds.com
33.3 m 33.3 m
33.3 m
Area
1,108.9 m21,108.9 m2 =33.3 m 33.3 m
Width Area
450 m25 m5 m1,050 m215 m15 m
@MathletePearcewww.tapintoteenminds.com
Width Area
450 m25 m5 m1,050 m215 m15 m
33.3 m 33.3 m
33.3 m
Area
1,108.9 m2
1,108.9 m2 =
33.3 m33.3 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m
25 m
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m
25 m
25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m
25 m 25 m
25 m 25 m
25 m 25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m
25 m 25 m
25 m
25 m 25 m
Area = (25 m)(25 m)
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m
25 m 25 m
25 m
25 m 25 m
Area =
Area =(25 m)(25 m) (25 m)(25 m)
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m
25 m 25 m
25 m
25 m 25 m
Area = 625 m2
Area = 625 m2
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m
25 m25 m
25 m
25 m25 m
= 625 m2
Area = 625 m2
Area25 m 25 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
25 m 25 m25 mAreaArea
50 m
= 1,250 m225 m 25 m1,250 m2
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
Width Area
450 m25 m5 m1,050 m215 m15 m1,108.9 m233.3 m
25 m 25 m25 mAreaArea
50 m
25 m = 1,250 m21,250 m2
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
Width Area
450 m25 m5 m1,050 m215 m15 m
1,108.9 m233.3 m
25 m 25 m
25 m
Area = 1,250 m2
Area
50 m
1,250 m225 m
What is the maximum 3-sided rectangular area we can enclose given 100 m of rope?
@MathletePearcewww.tapintoteenminds.com
Width Area
450 m5 m5 m1,050 m15 m15 m
1,108.9 m33.3 m
25 m 25 m
25 m
Area = 1,250 m
Area
50 m
1,250 m225 m
MAKE A SQUARE AND
DOUBLE THE LENGTH
TO MAXIMIZE AREA OF
3-SIDED ENCLOSURES
What is the maximum 3-sided rectangular area we can enclose given of rope?
@MathletePearcewww.tapintoteenminds.com
50 mMAKE A SQUARE AND
DOUBLE THE LENGTH
TO MAXIMIZE AREA OF
3-SIDED ENCLOSURES
What is the maximum 3-sided rectangular area we can enclose given of rope?
@MathletePearcewww.tapintoteenminds.com
50 m 50 m
50 m
MAKE A SQUARE AND
DOUBLE THE LENGTH
TO MAXIMIZE AREA OF
3-SIDED ENCLOSURES
200 m
50 m
What is the maximum 3-sided rectangular area we can enclose given of rope?
@MathletePearcewww.tapintoteenminds.com
50 m 50 m
50 m
MAKE A SQUARE AND
DOUBLE THE LENGTH
TO MAXIMIZE AREA OF
3-SIDED ENCLOSURES
200 m
50 m
What is the maximum 3-sided rectangular area we can enclose given of rope?
@MathletePearcewww.tapintoteenminds.com
50 m 50 m = 5,000 m2Area
100 m
MAKE A SQUARE AND
DOUBLE THE LENGTH
TO MAXIMIZE AREA OF
3-SIDED ENCLOSURES
200 m
100 m
