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Magazine Chapter 2: Q50. (page 73)
Llamas are often raised as pets or to carry supplies in mountainous areas. Suppose you are building a rectangular pen for a herd of llamas. You use 500 feet of fencing for the pen. Let x represent the pen’s length (in feet).
a. Write an expression for the width of the pen. Explain the steps you used to find the expression.
b. Use the distributive property to write an expression without parentheses for the area of the pen.
c. Find the width and the area of the pen if the length is 160 feet.
Short Answer
- Width:feet
- Area of the pen is sq. feet
- Width is 90 feet and Area is 14400 sq. feet.
Step by step solution
Apply the concept of Rectangle
Rectangle is a quadrilateral. Opposite sides are equal and parallel. Measurement of all four angles is.
How to find the Perimeter of the Rectangle?
Perimeter of rectangle is unit.
Step 3: Write an expression for the width of the pen. Explain the steps you used to find the expression.
We know that:Perimeter of rectangle is unit.
Question given the information length = x feet. Let us assume the width = w feet.
Given: Perimeter is 500 feet.
Width interms of length x feet is
Width of the pen is feet
(b)Step 1: Apply the concept of Rectangle
Rectangle is a quadrilateral. Opposite sides are equal and parallel. Measurement of all four angles is.
How to find the area of the Rectangle?
Area of rectangle is square unit.
Step 3: Use the distributive property to write an expression without parentheses for the area of the pen.
According to the question: length = x feet and we have already calculated in part a, the width is feet.
Area of rectangle is square unit.
Area of the pen is sq feet
(c)Find the width and the area of the pen if the length is 160 feet.
According to the question: length = x feet = 160 feet
we have already calculated in part a, the width is feet.
Area of the pen is sq feet
Now substitute x = 160 feet and calculate the area.
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