Question

The diagram below shows a sandbox and the frame that

surrounds it. What is the area of the frame (the shaded area)?
The length and width are in feet. (Picture of question below)

Answer 1

The area of the frame is
`(8x+16)\ ft^(2)`

Explanation:

we know that

The area of the frame is equal to the area of the larger rectangle minus the area of the smaller rectangle

so

`A=(x+5)(x+3)-(x+1)(x-1)\\A=(x^(2)+3x+5x+15)-(x^(2) -1)\\A= (x^(2)+8x+15)-(x^(2) -1)\\A=(8x+16)\ ft^(2)`