The area model uses the distributive property to build rectangles for each place being multiplied.
In the example above, we have broken 39 x 4 into (30 x 4) + (9 x 4).
Once the area of each rectangle is found, the partial products are added together.
120 +36= 156
39 x 4 = 156
How can you use an area model to solve 42 x 8?
Click here to view the area model.
Draw rectangles to represent 40 x 8 & 2 x 8. Find each partial product, then add them to find the entire product.
Practice Problems
Which equation is represented by the following area model?
Which equation is represented by the following area model?