Math Problem Statement
My rectangular soccer field site has a length equal to one and a half times its width. Find its area in terms of its length x.
Solution
Let the width of the rectangular soccer field be denoted by , and the length by . According to the problem, the length is one and a half times the width:
To express the width in terms of the length , solve for :
The area of the rectangular soccer field is given by the product of the length and width:
Substituting into the equation for area:
Thus, the area of the soccer field in terms of its length is:
Would you like more details or have any questions about this? Here are some related questions for further exploration:
- What is the width of the field if the length is 90 meters?
- How would the area formula change if the length were twice the width?
- What is the perimeter of the field in terms of ?
- If the area is 5400 square meters, what is the length of the field?
- How would the area change if the length were increased by 20%?
Tip: When working with ratios, always solve for one variable in terms of the other to make calculations easier.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Ratios
Formulas
Area of a rectangle: A = length × width
Relationship between length and width: x = 1.5w
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Find the Area of a Soccer Field Where the Length is Three Times the Width
Area of Rectangular Soccer Field in Terms of Length x
Calculating the Area of a Rectangular Field with Algebraic Expressions
Calculate Width and Length of Soccer Field Given Perimeter
Cách tính diện tích thửa ruộng hình chữ nhật khi biết tổng chiều dài và chiều rộng