Question

you are planning a rectangular garden inside a yard that is 40 feet long and 25 feet wide. you need to leave a 3 - feet - wide path around the garden for a fence. what is the maximum area for the garden? use the keypad to enter your answer in the box. the maximum possible length for the garden is 34 feet. the maximum possible width for the garden is 19 feet. therefore, the maximum possible area for the garden is square feet.

Explanation:

Step1: Recall the formula for the area of a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Substitute the given length and width values

We are given \(l = 34\) feet and \(w=19\) feet. Substitute these into the area formula: \(A=34\times19\).
Calculate \(34\times19=(30 + 4)\times19=30\times19+4\times19=570+76 = 646\).

Answer:

646