Question

1. luke needs a new fence around his garden, but the gate across the narrow end of the garden will not be replaced. write and evaluate a numerical expression to find how many feet of fencing luke needs.

Explanation:

Step1: Determine the formula

The perimeter of a trapezoid is the sum of all its sides. But since the gate (one of the non - parallel sides, assume the side of length \(3\) ft is the gate) is not replaced, the formula for the fencing length \(L\) is \(L=a + b+ c\), where \(a\) and \(b\) are the lengths of the non - gate sides and \(c\) is the length of the other non - parallel side.

Step2: Substitute the values

Here, \(a = 14\) ft, \(b=14\) ft, and \(c = 12\) ft. The numerical expression is \(14+14 + 12\).

Step3: Evaluate the expression

$$
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$$

Answer:

The numerical expression is \(14 + 14+12\) and the value is \(40\) ft.