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## Area of Triangles and Quadrilaterals

### Mathematics, Grade 6

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#### Study Guide Area of Triangles and Quadrilaterals Mathematics, Grade 6

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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.
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