Question

the perimeter of a rectangular vegetable patch is 64 meters. the vegetable patch is 22 meters long. how wide is it? meters

Explanation:

Step1: Recall the perimeter formula

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 \(P = 64\) meters and \(l=22\) meters.

Step2: Substitute values into the formula

Substitute \(P = 64\) and \(l = 22\) into \(P = 2(l + w)\): \(64=2(22 + w)\).

Step3: Simplify the equation

Divide both sides of the equation by \(2\): \(\frac{64}{2}=\frac{2(22 + w)}{2}\), which gives \(32=22 + w\).

Step4: Solve for \(w\)

Subtract \(22\) from both sides: \(w=32 - 22\).

Answer:

\(10\)