Calculate the area of the rectangle below using the distributive property.
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Calculate the area of the rectangle below using the distributive property.
The area of the rectangle is equal to the length multiplied by the width.
We begin by writing the exercise according to the existing data:
We then solve the exercise by using the distributive property, that is, we multiply 7 by each of the terms inside of the parentheses:
Lastly we solve the exercise inside of the parentheses and obtain the following:
63
Look at the rectangle below.
Side AB is 2 cm long and side BC has a length of 7 cm.
What is the perimeter of the rectangle?
You could do that and get the right answer, but this problem specifically asks you to use the distributive property. The goal is to practice breaking apart the multiplication: .
When a rectangle's length is given as a sum like (4+5), you can think of it as two separate rectangles: one that's 4×7 and another that's 5×7. The total area is the sum of both smaller areas!
That's a common mistake! Remember: the distributive property means you distribute (give) the outside number to every number inside the parentheses. becomes .
Absolutely! If you had , it would become . Just remember to keep the same operation sign.
Calculate the answer both ways: First using the distributive property, then by adding/subtracting inside the parentheses first. Both methods should give you the same final answer!
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