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

Answer:

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

Step-by-step 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

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