What is the length and width of a rectangle if your area is 40 inches and you perimeter is 26 inches
2 answers:
We can write equations, using x and y as the length and width:
xy=40
2x+2y=26
Divide the second equation by two to get:
xy=40
x+y=13
Thus, x=13-y.
We now have (13-x)x=40, so
and
Factoring, we get:
(x-5)(x-8)=0
So, x can be either 5 or 8 (and y will be the other option). Thus, the length and width are 8 and 5.
xy=40
2x+2y=26
Divide the second equation by two to get:
xy=40
x+y=13
Thus, x=13-y.
We now have (13-x)x=40, so
and
Factoring, we get:
(x-5)(x-8)=0
So, x can be either 5 or 8 (and y will be the other option). Thus, the length and width are 8 and 5.
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