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Understanding Application of Perimeter and Area in Polygons with Up to Four Sides

This guide illustrates how to determine whether a problem involving polygons (with four or fewer sides) pertains to area or perimeter, and it provides the relevant formulas for application. Key concepts include understanding the characteristics of polygons, the definitions of area and perimeter, and practical examples such as measuring tablecloths, sewing trims, and painting walls. It emphasizes visualizing the problem through sketches, labeling measurements, and applying the correct mathematical formulas. Suitable for learners looking to enhance their geometry skills.

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Understanding Application of Perimeter and Area in Polygons with Up to Four Sides

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  1. 6.11 determine if a problem situation involving polygons of four or fewer sides represents the application of perimeter or area and apply the appropriate formula     

  2. Pg 59 • Directions- • MA and PA….multiply area and perimeter add. • Draw a picture of the situation to determine if it is area or perimeter. Label the measurements. • Apply formulas and solve • Key words- • Area- cover, carpet, grass, mow, an area, paint, tile • Perimeter- fence, trim, border, enclose, hem, edge, around • Practice- • 1. Table cloth covers 6ft x 4 ft table. • 2. Sew a trim on a table cloth that is 6 ft x 4 ft. • 3. Paint a wall that is 10 ft x 8 ft. • 4. How much frosting for a triangular shaped cake that’s base 5 inches and height is 2 inches • 5. Sewing a ribbon around a triangle with a base of 8 inches and two sides each 7 inches. 6.11 Vocabulary Polygon –A polygon is a simple, closed, two-dimensional figure formed by three or more sides. Area– It is the product of the length and the width (A = lw). The area of a triangle is one half of the measure of the base times the height: A = bh, or A = bh ÷ 2. Perimeter– The perimeter of a polygon is the measure of the distance around the polygon. Length(l) - The measurement of the extent of something along its greatest dimension. Width(w) - The measurement of the extent of something from side to side. Base(b) – Bases are the top and bottom faces of a three-dimensional object. Height(h) –The shortest distance from the base of a parallelogram to its opposite side. FORMULAS Area = L X W Area= bh / 2 (half a quad) Perimeter is adding up all the sides MA PA

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