Katy has a rectangle field that is 700 feet wide one portion of the field is 2x long the other portion is 14y. Use the distributive property to find an expression for the area of the field.
To find the area of the rectangle field, we multiply its length by its width. Let's break down the given information:
Width of the field = 700 feet
One portion of the field is "2x" long.
Another portion of the field is "14y" long.
To apply the distributive property, we need to distribute the length expressions (2x and 14y) across the width expression (700).
So, the expression for the length of the entire field can be written as:
Length of the field = (2x + 14y)
Now, we can multiply the length and width to find the area of the field:
Area = Width × Length
Area = 700 × (2x + 14y)
Using the distributive property, we can distribute the 700 across the expression (2x + 14y):
Area = (700 × 2x) + (700 × 14y)
Area = 1400x + 9800y
Therefore, the expression for the area of the field using the distributive property is 1400x + 9800y.