+4 Anna would like to surround an \[8\, \text{in}\times10\, \text{in}\] photograph with a border of uniform width. Let \[x\] be the width of the border, in inches. Which of the following functions could she use to determine the area, \[A\], in square inches \[\left(\text{in}^2\right)\], of the picture and border combined?
+14
To determine the area of the photograph with the border combined, you need to account for the width of the border on all sides. The width x will be added to both the length and the width of the photograph. Let's break it down:
The original dimensions of the photograph are 8 inches by 10 inches. With the border added, the total dimensions will become:
Width: 8+2x8 + 2x
Height: 10+2x10 + 2x
The area aa of the photograph and the border combined can be represented by the following function:
a=(8+2x)(10+2x)a = (8 + 2x)(10 + 2x)
This function will allow Anna to determine the area in square inches for any given width of the border x
+14
To determine the area of the photograph with the border combined, you need to account for the width of the border on all sides. The width x will be added to both the length and the width of the photograph. Let's break it down:
The original dimensions of the photograph are 8 inches by 10 inches. With the border added, the total dimensions will become:
Width: 8+2x8 + 2x
Height: 10+2x10 + 2x
The area aa of the photograph and the border combined can be represented by the following function:
a=(8+2x)(10+2x)a = (8 + 2x)(10 + 2x)
This function will allow Anna to determine the area in square inches for any given width of the border x
