Area of Quadrilateral.

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Presentation transcript:

Area of Quadrilateral

A quadrilateral is a polygon that has 4 sides A quadrilateral is a polygon that has 4 sides. You can use formulas to find the area of quadrilaterals.

Example 1: What is the area of this rectangle? Strategy: Use the formula for the area of a rectangle. Step 1: Substitute the values for the length and width into the formula. -The length of the rectangle is 7 feet and the width is 5 feet. A= l∙w A= 7∙5 Step 2: Multiply A= 7∙5 = 35 Solution: The area of the rectangle is 35 square feet, or 35 ft2.

Example 2: What is the area of this parallelogram? 6 cm 7.5 cm 15 cm Strategy: Use the formula for the area of a parallelogram. Step 1: Substitute the values for the base and height into the formula. -The base of the parallelogram is 15 cm and the height is 6 cm. A= b∙h A= 15∙6 Step 2: Multiply A= 15∙6 = 90 Solution: The area of the parallelogram is 90 square centimeters, or 90 cm2.

Example 3: What is the area of this rhombus? A rhombus is a parallelogram whose sides are all the same length. 12in 13 in Strategy: Use the formula for the area of a rhombus. Step 1: Substitute the values for the base and height into the formula. -The base of the rhombus is 13 in and the height is 12 in. A= b∙h A= 13∙12 Step 2: Multiply A= 13∙12 = 156 Solution: The area of the rhombus is 156 square inches, or 156 in2.

Example 4: What is the area of this trapezoid? 7 yd 14 yd 8 yd Strategy: Use the formula for the area of a trapezoid. Step 1: Substitute the values for the base and height into the formula. -The height of the trapezoid is 7 yards and the bases are 8 yards and 14 yards. A= 1/2 h(a+b) A= 1/2 ∙7(8+14) Step 2: Use the order of operations. (PEMDAS) -1st Parentheses A= 1/2 ∙7(22) -2nd Multiply A= 1/2 ∙154 = 1 2 ∙ 154 1 = 154 2 = 77 Solution: The area of the trapezoid is 77 square yards, or 77 yd2.