Walkmanmusic23
Walkmanmusic23 Walkmanmusic23
  • 01-03-2019
  • Mathematics
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)

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 class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-03-2019

Answer:

8x+16  ft^2

Step-by-step explanation:

First we find the total area of the large rectangle

A = l*w

A = (x+3) * (x+5)

FOIL

A = x^2 +5x+3x+15

A = x^2 +8x+15

Now we find the area of the inner rectangle

A = lw

A = (x+1) (x-1)

FOIL

A = x^2 -x+x -1

A = x^2 -1

To find the shaded area, take the large rectangle and subtract the small rectangle

x^2 +8x+15 - (x^2 -1)

Distribute the minus sign

x^2 +8x+15 - x^2 +1

Combine like terms

8x+16

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