Question

perimeter of rectangle
the perimeter of a rectangle is 34 units. its
width is 6.5 units.
6
fill in the blank 1 point
write an equation to determine the length (x) of the
rectangle.
the equation is type your answer...
7
fill in the blank 1 point
find the length of the rectangle.
the length of the rectangle is type your answer units

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter formula for a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width. Given \(P = 34\) and \(w=6.5\), substituting into the formula gives \(34 = 2(x + 6.5)\).

Step2: Solve the equation for \(x\)

First, divide both sides of the equation \(34 = 2(x + 6.5)\) by \(2\): \(\frac{34}{2}=x + 6.5\), which simplifies to \(17=x + 6.5\). Then subtract \(6.5\) from both sides: \(x=17 - 6.5\).

Answer:

The equation is \(34 = 2(x + 6.5)\). The length of the rectangle is \(10.5\) units.