A field has a width of x m. Its length is 5 m more than its width. Write an algebraic expression, in simplified form, for the area of the field.
a = x(x+5)
To find the area of the field, we need to multiply its length by its width.
Given that the width of the field is x m, we can express the length as x+5 m.
Therefore, the algebraic expression for the area of the field is:
Area = width * length
Area = x * (x+5)
Area = x^2 + 5x
So, the simplified algebraic expression for the area of the field is x^2 + 5x.
To find the area of the field, we need to multiply the width and length of the field.
Let's start by defining the width of the field as x meters.
The length of the field is given as 5 meters more than its width, which means it can be expressed as (x + 5) meters.
Therefore, the algebraic expression for the area of the field is:
Area = width × length
Area = x meters × (x + 5) meters
Now, let's simplify the expression:
Area = x(x + 5)
Using the distributive property, we can expand the expression:
Area = x^2 + 5x
So, the simplified algebraic expression for the area of the field is x^2 + 5x.