Walkmanmusic23
contestada

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)

The diagram below shows a sandbox and the frame thatsurrounds it What is the area of the frame the shaded area The length and width are in feet Picture of quest class=

Respuesta :

calculista

Answer:

The area of the frame is [tex](8x+16)\ ft^{2}[/tex]

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

[tex]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}[/tex]