Area and Perimeter of Similar Figures

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Presentation transcript:

Area and Perimeter of Similar Figures Lesson #6 Pg. 147

What you will learn… The perimeters of similar figures are related by the scale factor The areas of similar figures are related by the square of the scale factor

Perimeter and Area of Similar Figures Words - If figure B is similar to figure A by a scale factor, then the perimeter of B is equal to the perimeter of A times the scale factor Symbols – Models Figure A Figure B Area Words - If figure B is similar to figure A by a scale factor, then the Area of B is equal to the Area of A times the square of the scale factor Perimeter of figure B Perimeter of figure A 𝑆𝑐𝑎𝑙𝑒 𝐹𝑎𝑐𝑡𝑜𝑟 Area of figure B Area of figure A 𝑆𝑐𝑎𝑙𝑒 𝐹𝑎𝑐𝑡𝑜𝑟 2

Perimeter Example Two rectangles are similar. One has a length of 6in. And a perimeter of 24 in.. The other has a length of 7 in.. What is the perimeter of this rectangle? Draw picture

Perimeter Example Triangle LMN is similar to triangle PQR. If the perimeter of triangle LMN is 64 meters, what is the perimeter of triangle PQR?

Perimeter Example In a scale drawing, the perimeter of the garden is 64 in.. The actual length of AB is 18ft.. What is the perimeter of the actual garden? Always convert to same units Find the scale factor Find the perimeter of the actual garden

Perimeter Example Two quilting squares are shown. The scale factor is 3 : 2. What is the perimeter of square TUVW?

Area Example The Eddington’s have a 5x8 ft. porch on the front of their house. They are building a similar poarch on the back with double (SF) the dimensions. What is the area of the back porch?

Homework All: pg. 151-152 (1-7, 9, 10) Test Tuesday www.ixl.com Q13