Question

question 1 1 pts a bedroom floor is a rectangle with an area of 126 square feet. there are three identical non - overlapping square rugs on the floor, with side lengths of 4 feet. what area of the floor, in square feet, is not covered by rugs? 48 114 78 110

Explanation:

Step1: Calculate the area of one square rug

The area formula for a square is \(A = s^2\) (where \(s\) is the side - length). Given \(s = 4\) feet, then \(A_{rug}=4^2=16\) square feet.

Step2: Calculate the total area of three square rugs

Since there are three identical rugs, \(A_{total - rugs}=3\times A_{rug}\). Substitute \(A_{rug}=16\) into the formula: \(A_{total - rugs}=3\times16 = 48\) square feet.

Step3: Calculate the uncovered area

The area of the floor is \(A_{floor}=126\) square feet. The uncovered area \(A_{uncovered}=A_{floor}-A_{total - rugs}\). Substitute \(A_{floor}=126\) and \(A_{total - rugs}=48\) into the formula: \(A_{uncovered}=126 - 48=78\) square feet.

Answer:

78