Question

1. the area of a rectangle is 35 square meters. the length is (z + 2) meters and the width is 5 meters. find the value of z.

Explanation:

Step1: Use the area formula of rectangle

The area formula of a rectangle is \(A = length\times width\). Given \(A = 35\) square meters, \(length=(z + 2)\) meters and \(width = 5\) meters. So we have the equation \(35=(z + 2)\times5\).

Step2: Solve the equation for \(z\)

First, divide both sides of the equation \(35=(z + 2)\times5\) by \(5\): \(\frac{35}{5}=\frac{(z + 2)\times5}{5}\), which simplifies to \(7=z + 2\).
Then, subtract \(2\) from both sides: \(z=7 - 2\).

Answer:

\(z = 5\)