Question

8.) wallace is putting new carpet in his bedroom. if the room is 12 feet long and 9 feet wide, how much carpet will he need?
a. 112 1/4 ft²
b. 120 ft²
c. 115 1/4 ft²
d. 111 ft²

Explanation:

Step1: Recall the formula for the area of a rectangle

The area \(A\) of a rectangle is given by \(A = length\times width\).

Step2: Substitute the given values into the formula

Here, the length \(l = 12\) feet and the width \(w=9\frac{3}{4}=\frac{9\times4 + 3}{4}=\frac{39}{4}\) feet.
So, \(A=12\times\frac{39}{4}\).
First, simplify \(12\div4 = 3\). Then, \(A = 3\times39=117\) square - feet.

Answer:

D. \(117\ ft^{2}\)