Question

bonnie wants to make a picture frame for a 5 x 8 - inch photo. what is the area of the frame if the frame is 1 inch thick? square inches

Explanation:

Step1: Calculate outer - rectangle dimensions

The frame is 1 inch thick on each side. So the length of the outer - rectangle is $8 + 1+1=10$ inches and the width of the outer - rectangle is $5 + 1+1 = 7$ inches.

Step2: Calculate outer - rectangle area

The area formula for a rectangle is $A = l\times w$. The area of the outer - rectangle $A_{outer}=10\times7 = 70$ square inches.

Step3: Calculate inner - rectangle (photo) area

The area of the inner - rectangle (the photo) with length $l = 8$ inches and width $w = 5$ inches is $A_{inner}=8\times5=40$ square inches.

Step4: Calculate frame area

The area of the frame is the difference between the area of the outer - rectangle and the area of the inner - rectangle. So $A = A_{outer}-A_{inner}=70 - 40=30$ square inches.

Answer:

30