Question

question
rita has a square poster with sides of length 16 inches. she trims the poster by reducing its height by 2
inches and its width by 5 inches. by how many square inches did rita reduce the area of the poster?
○ 10
○ 32
○ 102
○ 112

Explanation:

Step1: Calculate the original area

The area of a square is \(A = s^2\), where \(s = 16\) inches. So, \(A_{original}=16\times16 = 256\) square inches.

Step2: Calculate the new dimensions and area

The new height \(h=16 - 2=14\) inches and new width \(w = 16- 5 = 11\) inches. The new area \(A_{new}=14\times11=154\) square inches.

Step3: Calculate the reduction in area

The reduction in area \(\Delta A=A_{original}-A_{new}\). So, \(\Delta A = 256-154=102\) square inches.

Answer:

102