Kathy DesMaris has a rectangular field that is 644 feet wide. One portion of the field is 5x feet long. The other portion of the field is 8y long. Use the distributive property to find an expression for the area of this field.
To find the area of the rectangular field, we need to multiply its width by its length.
The width of the field is given as 644 feet.
Let's find the total length of the field by adding the lengths of the two portions:
Length of the first portion: 5x feet
Length of the second portion: 8y feet
Total length of the field = Length of the first portion + Length of the second portion
= 5x feet + 8y feet
Now, we can find the expression for the area of the field by multiplying the width by the total length:
Area of the field = Width × Length
= 644 feet × (5x feet + 8y feet)
Using the distributive property, we can simplify this expression:
Area of the field = 644 feet × 5x feet + 644 feet × 8y feet
= 3220x feet + 5152y feet
Therefore, the expression for the area of the field is 3220x + 5152y square feet.
To find the expression for the area of Kathy DesMaris' field, we can use the formula for the area of a rectangle, which is length multiplied by width.
Given that the width of the field is 644 feet, we can represent this as 644.
For the length of the first portion, we have 5x feet.
For the length of the second portion, we have 8y feet.
Using the distributive property, we can evaluate the expression for the area:
Area = (5x + 8y) * 644
Therefore, the expression for the area of Kathy DesMaris' field is (5x + 8y) * 644.
a = 644(5x) + 644(8y)
= 644(5x+8y)