Mimi is planning on landscaping her backyard. Originally the grass covered an area that was 10.5 feet long and 6.5 feet wide. She plans to extend the width of the yard by 2 feet. What is the area of the new yard?
In this concept, you will learn to use the distributive property to evaluate formulas using decimal quantities.
Evaluating Formulas with Decimals
The distributive property can be used when working with a formula.
Let’s look at the formula for the area of a rectangle.
Here is a rectangle with the given dimensions.
The area of this rectangle would be 12 times 4.
The area of this rectangle is 48 square inches. Remember that a unit is being multiplied by another unit when finding the area of an object. The area is written as the unit with an exponent of 2, read as “inches squared” or “square inches.”
Here are two rectangles with the same width.
Use the distributive property to find the area of these two rectangles. Distribute 4.5 with each length and find the sum of the products.
Earlier, you were given a problem about Mimi landscaping her backyard.
She is going to extend her yard that is 10.5 feet by 6.5 feet by making it 2 feet wider. Use the formula for the area of a rectangle to find the area of the new yard.
First, write an expression to find the area of the new yard.
The area of the new yard will be 89.25 square feet.
Use the distributive property to find the area of the rectangles.
First, write the formula to find the areas.
Then, use the distributive property to evaluate.
What is the formula for finding the area of a rectangle?
This is the distributive property.
What is the formula for finding the area of a square?
Practice using the distributive property to solve each problem.