Area Model Multiplication Worksheets Last Updated : 13 Aug, 2025 Comments Improve Suggest changes Like Article Like Report Area Model Multiplication is a visual technique used to simplify multiplying larger numbers by breaking them down into smaller, more manageable parts based on their place values. This method uses a rectangular grid, where each section represents a partial product of the multiplication. Table of ContentWhat is Area Model Multiplication?Steps for Area Model MultiplicationImportant FormulasArea Model Multiplication: Solved ProblemsWorksheet: Area Model MultiplicationFAQsWhat is Area Model Multiplication?Area Model Multiplication is a visual method used to multiply numbers, particularly helpful in breaking down complex multiplication problems into smaller, more manageable parts. It is often taught in elementary schools to help students understand the concept of multiplication and the distributive property.Steps for Area Model MultiplicationSteps to calculate multiplication using are model are:Step 1: Break down each number into its place values. For example, if multiplying 23 by 15, you'd break them down as 20 + 3 and 10 + 5.Step 2: Draw a rectangle and divide it into sections based on the place values. For example, a rectangle for 23 × 15 would have four sections: 20 × 10, 20 × 5, 3 × 10, and 3 × 5.Step 3: Multiply the numbers in each section.Step 4: Add all the products together to get the final answer.Let's consider example for better understanding.Example: If you want to multiply 23 by 15:Solution:Break them down: 23 = 20 + 3 and 15 = 10 + 5.Draw a rectangle divided into four smaller rectangles.Label each rectangle with the appropriate multiplication:Top left: 20 × 10 = 200Top right: 20 × 5 = 100Bottom left: 3 × 10 = 30Bottom right: 3 × 5 = 15Add the products: 200 + 100 + 30 + 15 = 345.So, 23 × 15 = 345.Area Model Multiplication: Solved ProblemsProblem 1: Multiply 12 by 14.Solution:Break down: 12=10+2 and 14=10+4Area Model:10×10=10010×4=402×10=202×4=8Add: 100+40+20+8=168Answer: 12×14=168Problem 2: Multiply 23 by 35. Solution:Break down: 23=20+3 and 35=30+5Area Model:20×30=60020×5=1003×30=903×5=15Add: 600+100+90+15=805Answer: 23×35=805Problem 3: Multiply 16 by 27.Solution:Break down: 16=10+6 and 27=20+7Area Model:10×20=20010×7=706×20=1206×7=42Add: 200+70+120+42=432Answer: 16×27=432Problem 4: Multiply 34 by 22. Solution:Break down: 34=30+4 and 22=20+2Area Model:30×20=60030×2=604×20=804×2=8Add: 600+60+80+8=748Answer: 34×22=748Problem 5: Multiply 45 by 19. Solution:Break down: 45=40+5 and 19=10+9Area Model:40×10=40040×9=3605×10=505×9=45Add: 400+360+50+45=855Answer: 45×19=855Problem 6: Multiply 21 by 33. Solution:Break down: 21=20+1 and 33=30+3Area Model:20×30=60020×3=601×30=301×3=3Add: 600+60+30+3=693Answer: 21×33=693Problem 7: Multiply 52 by 18.Solution:Break down: 52=50+2 and 18=10+8Area Model:50×10=50050×8=4002×10=202×8=16Add: 500+400+20+16=936Answer: 52×18=936Worksheet: Area Model MultiplicationQ1: Multiply 17 by 23.Q2: Multiply 25 by 36.Q3: Multiply 48 by 29.Q4: Multiply 31 by 42.Q5: Multiply 63 by 54.Q6: Multiply 39 by 27.Q7: Multiply 55 by 33.Q8: Multiply 47 by 32.Q9: Multiply 24 by 45.Q10: Multiply 19 by 28.Read More,MultiplicationBinary MultiplicationArea Model MultiplicationMultiplication WorksheetsMultiplication Property of EqualityDistributive Property of Multiplication Worksheet Comment More infoAdvertise with us A ashishtiwa2irm Follow Improve Article Tags : Mathematics School Learning Practice Questions Similar Reads Maths Mathematics, often referred to as "math" for short. It is the study of numbers, quantities, shapes, structures, patterns, and relationships. 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