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# Area of Triangles and Quadrilaterals Topic

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DETERMINE THE AREA OF TRIANGLES AND QUADRILATERALS • The area is the surface or space within an enclosed region. Area is expressed in square units. • The formula for calculating the area of a triangle is ½ base times height or 1/2bh • Quadrilaterals are two-dimensional shapes with four sides. A quadrilateral is also called a 4-sided polygon. o A square is a quadrilateral with parallel sides of equal length. o A rectangle is a quadrilateral with all sides parallel, the opposite sides are the same length o A rhombus is a quadrilateral with 4 equal sides, but the angles are not 90 degrees. o A trapezoid is a quadrilateral with only one pair of parallel sides. How to determine the area of triangles and quadrilaterals: • The formula for calculating the area of a triangle is ½ base times height or ½ b x h. • To calculate the area of a triangle, input the values and complete the operation. Base = 14in and height = 6in Area = ½ (14 X 6) Area = 42 square inches © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

• The formula for calculating the area of square, rectangle or rhombus is length times height or l x h. Length = 23 feet and width = 12 feet Area = 23 X 12 Area = 176 square feet • The formula for calculating the area of a trapezoid is ½ (b1 X b2) h Bases of parallel sides are 5cm and 9cm The height is 11cm Area = ½ (5 + 9) X 11 Area = ½ (14) X 11 = 7 X 11 = 77 sq. cm • To calculate the area of a quadrilateral or a triangle, choose the correct formula, input the values, and perform the operations. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

Try This: Calculate the area for: A triangle with a base of 5cm and a height of 12cm _______________________________ A square with sides of 34 feet ________________________________________________ A rectangle which is 9m by 12m _____________________________________________ A rhombus with sides of 40mm ______________________________________________ A trapezoid with bases of 4 inches and 9 inches and a height of 10 inches ________________________________________________________ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.