Question

Lily is building a picture frame.

The larger rectangle represents the frame. The smaller rectangle
represents the picture. The shaded area represents the 2-inch
border around the picture.
What is the area of the border, or the shaded region, of this
figure in square inches?
Enter your answer in the box.

Answer 1

`\huge\boxed{\sf Area \ of \ border = 104\ in.\²}`

Explanation:

Area of larger rectangle:

= Length * Width

= 18 * 12

= 216 in.²

Area of smaller triangle:

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length * Width

= 8 * 14

= 112 in.²

Area of shaded region:

= 216 - 112

= 104 in.²

`\rule[225]{225}{2}`

Hope this helped!

~AH1807