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Areas of Other Figures

Learn how to calculate the total area of an irregular figure by breaking it down into familiar shapes and applying area formulas for rectangles, trapezoids, and triangles. Practice with examples in this lesson.

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Areas of Other Figures

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  1. Step 1 Separate the irregular figure into familiar figures. Area of the blue rectangle: A =l wUse the area formula for a rectangle. = (10)(9)Substitute for l and w. = 90Multiply. COURSE 2 LESSON 8-3 Areas of Other Figures Find the area of the irregular figure. Step 2 Find the area of each smaller figure. 8-3

  2. 1 2 1 2 1 2 A =h(b1+ b2)Use the area formula for a trapezoid. =(4)(4+9)Substitute h, b1, and b2. =(4)(13)Add. = 26Multiply. COURSE 2 LESSON 8-3 Areas of Other Figures (continued) Area of the green trapezoid: 8-3

  3. 1 2 1 2 A =bhUse the area formula for a triangle. =(8)(9)Substitute b and h. = 36Multiply. Step 3 Add to find the total area. 90 + 26 + 36 = 152 COURSE 2 LESSON 8-3 Areas of Other Figures (continued) Area of the purple triangle: The area of the irregular figure is 152 cm2. 8-3

  4. COURSE 2 LESSON 8-3 Areas of Other Figures Find the area of each figure. 1.2. 148.5 cm2 240 mm2 8-3

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