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Snowcat [4.5K]
4 years ago
7

A notebook has a perimeter of 36 inches and an area of 80 square inches. What are the dimensions of the notebook?

Mathematics
1 answer:
maw [93]4 years ago
4 0
Let L be length and W be width
The perimeter of a rectangle is 2W+2L=36
Thus 2W=36-2L, W=18-L
Area of a rectangle is WL=80
Thus (18-L)(L)=80
18L-L^2=80
L^2-18L+80=0
(L-8)(L-10)
Thus L can either be 8 or 10.
Because WL=80
If L is 8, then W=10
If L is 10, then W=8
So either way, the notebook is 8 by 10
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