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 formula for the area of a rectangle is \(A = l\times w\). The length \(l = 4\frac{1}{4}\) ft. Convert \(4\frac{1}{4}\) to an improper fraction: \(4\frac{1}{4}=\frac{4\times4 + 1}{4}=\frac{17}{4}\) ft. The width \(w = 3\) ft.

Step2: Calculate the area of the rectangle

Using the area formula \(A=l\times w\), substitute \(l=\frac{17}{4}\) and \(w = 3\). Then \(A=\frac{17}{4}\times3=\frac{17\times3}{4}=\frac{51}{4}=12\frac{3}{4}\) square - feet.

Answer:

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