Question

apply

1. a rectangle has a length that is half its width. define a variable to

represent the unknown quantity. then write an expression to represent
the perimeter of the rectangle.

1. in a triangle there are two sides that have the same length and the third

side is 1.5 times longer than the length of the other two. define a variable
to represent the unknown quantity. then write an algebraic expression to
represent the perimeter of the triangle.

Explanation:

16.

Step1: Define the variable

Let the width of the rectangle be \( w \).

Step2: Express the length

Since the length is half its width, the length \( l=\frac{w}{2} \).

Step3: Use the perimeter formula

The perimeter formula of a rectangle is \( P = 2(l + w) \). Substitute \( l=\frac{w}{2} \) into the formula:

$$
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Step1: Define the variable

Let the length of the two equal - length sides be \( x \).

Step2: Express the third side

The third side is \( 1.5x \).

Step3: Use the perimeter formula

The perimeter formula of a triangle is \( P=a + b + c \). Here \( a=x \), \( b = x \), \( c=1.5x \).

$$
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$$

Answer:

Let \( w \) be the width of the rectangle. The perimeter \( P = 3w \).

17.