Section 6.7: Areas of Triangles and Quadrilaterals Goals Find the areas of squares, rectangles, parallelograms and triangles Find the areas of trapezoids, kites, and rhombuses Anchors Apply appropriate techniques, tools, and formulas to determine measurements. Analyze characteristics and properties of two and three dimensional geometric shapes and demonstrate understanding of geometric relationships. Geometry

Area Formulas Square - The area of a square is the square of the length of a side. Rectangle - The area of a rectangle is the product of its base and height Parallelogram - The area of a parallelogram is the product of a base and its corresponding height Triangle - The area of a triangle is one half the product of a base and its corresponding height Geometry

Find the area of each of the following polygons. 20 18 20 8 25 32 18 16 Geometry

Trapezoid - The area of a trapezoid is one half the product of the height and the sum of the bases 20 Find the area: 14 38 Geometry

Multiply the midsegment times the height: 20 38 14 Find the midsegment: Multiply the midsegment times the height: A = Length of midsegment ● height A = Length of midsegment ● height 20 43 A = A = Geometry

Find the area of the kite and rhombus below: C E D AC = 30 BD = 48 BE = 12 F I G J H FH = 50 GI = 42 Geometry

A B C E D F I G J H FH = 50 GI = 42 AC = 30 BD = 48 BE = 12 Geometry

Find the value of the variable. 20 12 16 x 1) 2) 40 30 x Geometry