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bixtya [17]
3 years ago
15

What is the length and width of a rectangle if your area is 40 inches and you perimeter is 26 inches

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0
<span><span>l=</span><span>8in or 5in</span></span>
<span>Perimeter: 26 in
Area:40 in'2
</span>
mylen [45]3 years ago
7 0
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
13x-x^2=40
and x^2-13x+40=0

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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