Question

Question 3 options: 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?

Answer 1

The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

Learn more about the area;

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