Question

1. find the perimeter of the area model. what addition sentence represents the perimeter of the rectangle? 7 + 2 + 5 + 2 = 16 7 + 5 = 12 7 + 7 + 5 + 5 = 24 7 + 7 + 5 + 5 = 35

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The perimeter of a rectangle is \(P = l + l+ w + w\) (where \(l\) is the length and \(w\) is the width).

Step2: Identify the length and width of the rectangle

Counting the number of unit - squares along the length and width. The length \(l = 7\) (number of unit - squares along the longer side) and the width \(w = 5\) (number of unit - squares along the shorter side).

Step3: Substitute into the perimeter formula

Substitute \(l = 7\) and \(w = 5\) into \(P=l + l+w + w\). We get \(P=7 + 7+5 + 5\).

Step4: Calculate the sum

\(7+7 + 5+5=(7 + 7)+(5 + 5)=14 + 10=24\)

Answer:

The addition sentence \(7 + 7+5 + 5 = 24\) represents the perimeter of the rectangle.