Answer:
the area is 935 square inches, and the perimeter is 39 inches
Explanation:
Hey there!
In order to find the perimeter and area of the board, we must first list out the information we already know
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- - The original board has a length of 44
- - The original board has an area of 1496
- - The original board has a perimeter of 156
- - The new board has a length of 11
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There is a tiny pattern in here:
The original board has a length of 44 while the new one has the length of 11
This means that, the original board had dimensions 4 times the length of the new board
In order to find the area or perimeter, we need to know the width of the new board
To do this, we divide 1496 by 44
That gets us 34
This means that the width of the old board is 34
Now we divide 34 by 4 which gets us 8.5
This means, 8.5 is the width of the new board
Now that we know this, we can easily find the area and the perimeter of the new board
8.5 + 8.5 + 11 + 11 = 39
This means, the perimeter is 39
8.5 x 11 = 935
This means, the area is 935
This brings us to the conclusion that the area is 935 square inches, and the perimeter is 39 inches!