Question

from unit 2, lesson 12
find the area of the shaded region. explain or show your reasoning.
3 ft
4\frac{1}{4} ft

Explanation:

Step1: Convert the mixed number to an improper fraction

The height of the rectangle is \(4\frac{1}{4}\) ft. Convert it to an improper fraction: \(4\frac{1}{4}=\frac{4\times4 + 1}{4}=\frac{17}{4}\) ft.

Step2: Use the formula for the area of a rectangle

The formula for the area of a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width. Here, \(l=\frac{17}{4}\) ft and \(w = 3\) ft.
So, \(A=\frac{17}{4}\times3=\frac{17\times3}{4}=\frac{51}{4}=12\frac{3}{4}\) square feet.

Answer:

The area of the shaded region is \(12\frac{3}{4}\) square feet.