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Perimeter and Area of Rectangles Name: Math 6 Date: Chapter 9 – Lesson 3 More resources can be found on our class website: www.elliottsttims.weebly.com/resources Perimeter What is perimeter? Perimeter is the DISTANCE around a shape. How do you calculate perimeter? Add up all of the side lengths of the figure. * Sometimes all of the side lengths are not GIVEN, so you need to figure them out yourself. Perimeter Formulas The formula for perimeter of a rectangle is: = ! + ! + ! + ! What do you know about the lengths of the sides of a rectangle? There are 2 pairs of congruent sides. Can you write the rectangle perimeter formula in a simpler way? = 2 ( + ) What do you know about the length of the sides of a square? They are all the same length What is the perimeter formula for a square? = 4 × Practice What is the perimeter of a square with side lengths 6 m? P=4xs P=4x6 P = 24 m How much fencing would a builder need to fence in a rectangular garden that was 5 feet wide and 10 feet long? P = 2(l + w) P = 2(5 + 10) P = 2(15) P = 30 feet The builder would need 30 feet of fencing.

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Page 1: 9 3 Perimeter and area of rectangles - Elliottsttimselliottsttims.weebly.com/uploads/2/2/7/4/22742498/... · The area of the whole shape can be found by adding up the areas of the

PerimeterandAreaofRectangles Name:Math6 Date:Chapter9–Lesson3

Moreresourcescanbefoundonourclasswebsite:www.elliottsttims.weebly.com/resources

Perimeter Whatisperimeter?

PerimeteristheDISTANCEaroundashape.Howdoyoucalculateperimeter?Addupallofthesidelengthsofthefigure.*SometimesallofthesidelengthsarenotGIVEN,soyouneedtofigurethemoutyourself.

PerimeterFormulas

Theformulaforperimeterofarectangleis:𝑃 = 𝑠! + 𝑠! + 𝑠! + 𝑠!

Whatdoyouknowaboutthelengthsofthesidesofarectangle?Thereare2pairsofcongruentsides.Canyouwritetherectangleperimeterformulainasimplerway?

𝑃 = 2 (𝑙 + 𝑤) Whatdoyouknowaboutthelengthofthesidesofasquare?TheyareallthesamelengthWhatistheperimeterformulaforasquare?

𝑃 = 4 × 𝑠

Practice Whatistheperimeterofasquarewithsidelengths6m?P=4xsP=4x6P=24mHowmuchfencingwouldabuilderneedtofenceinarectangulargardenthatwas5feetwideand10feetlong?P=2(l+w)P=2(5+10)P=2(15)P=30feetThebuilderwouldneed30feetoffencing.

Page 2: 9 3 Perimeter and area of rectangles - Elliottsttimselliottsttims.weebly.com/uploads/2/2/7/4/22742498/... · The area of the whole shape can be found by adding up the areas of the

PerimeterandAreaofRectangles Name:Math6 Date:Chapter9–Lesson3

Moreresourcescanbefoundonourclasswebsite:www.elliottsttims.weebly.com/resources

Practice Copythefigureontheboard:*Notethatthedrawingisnottoscale,soyoucannotrelyonarulertogiveyouthecorrectsidelengths.Uselogicalreasoning.

Whatisthisfigure’sperimeter?P=10+9+8+(9)+2+18+(20)+(18)*Sidelengthsinparenthesesmustbedeterminedfromlogicalreasoning.They’renotspecificallygiveninthefigure.P=94m

Area Whatisarea?Areaisthespaceashapetakesup.It’smeasuredinsquareunits.Howdoyoucalculatetheareaofarectangle?Multiplytheshape’slengthbyitswidthWhatdoyouknowabouttheareaofacompositeshape?Theareaofthewholeshapecanbefoundbyaddinguptheareasofthesmallershapesthatmakeitup.Whatistheareaofthecompositefigurethatyoudrewatthetopofthispage?

𝐴! = 18 × 10𝐴! = 180

𝐴! = 9 × 8𝐴! = 72

𝐴! = 18 × 2𝐴! = 36

𝐴! = 𝐴! + 𝐴! + 𝐴!𝐴! = 180+ 72+ 36

𝐴! = 288 𝑚!

Page 3: 9 3 Perimeter and area of rectangles - Elliottsttimselliottsttims.weebly.com/uploads/2/2/7/4/22742498/... · The area of the whole shape can be found by adding up the areas of the

PerimeterandAreaofRectangles Name:Math6 Date:Chapter9–Lesson3

Moreresourcescanbefoundonourclasswebsite:www.elliottsttims.weebly.com/resources

Page 4: 9 3 Perimeter and area of rectangles - Elliottsttimselliottsttims.weebly.com/uploads/2/2/7/4/22742498/... · The area of the whole shape can be found by adding up the areas of the

PerimeterandAreaofRectangles Name:Math6 Date:Chapter9–Lesson3

Moreresourcescanbefoundonourclasswebsite:www.elliottsttims.weebly.com/resources

Perimeter Whatisperimeter?Howdoyoucalculateperimeter?*SometimesallofthesidelengthsarenotGIVEN,soyouneedtofigurethemoutyourself.

PerimeterFormulas

Theformulaforperimeterofarectangleis:

𝑃 = 𝑠! + 𝑠! + 𝑠! + 𝑠! Whatdoyouknowaboutthelengthsofthesidesofarectangle?Canyouwritetherectangleperimeterformulainasimplerway?Whatdoyouknowaboutthelengthofthesidesofasquare?Whatistheperimeterformulaforasquare?

Practice Whatistheperimeterofasquarewithsidelengths6m?Howmuchfencingwouldabuilderneedtofenceinarectangulargardenthatwas5feetwideand10feetlong?

Page 5: 9 3 Perimeter and area of rectangles - Elliottsttimselliottsttims.weebly.com/uploads/2/2/7/4/22742498/... · The area of the whole shape can be found by adding up the areas of the

PerimeterandAreaofRectangles Name:Math6 Date:Chapter9–Lesson3

Moreresourcescanbefoundonourclasswebsite:www.elliottsttims.weebly.com/resources

Practicewithcompositeshapes

Copythefigureontheboard:*Notethatthedrawingisnottoscale,soyoucannotrelyonarulertogiveyouthecorrectsidelengths.Uselogicalreasoning.Whatisthisfigure’sperimeter?

Area Whatisarea?Howdoyoucalculatetheareaofarectangle?Whatdoyouknowabouttheareaofacompositeshape?Whatistheareaofthecompositefigurethatyoudrewatthetopofthispage?


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