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trasher [3.6K]
3 years ago
12

The length of a rectangle is 5 m less than twice the width, and the area is 33 m. Find the dimensions of the rectangle.

Mathematics
2 answers:
MrMuchimi3 years ago
7 0
Check the picture below

it can't be -3... since is width unit, so it has to be the other

and recall that length = 2w - 5

Sveta_85 [38]3 years ago
4 0
5 cm less than twice the width: 

l = 2w - 5

A = lw

33 = lw 

33 = (2w - 5)(w)

33 = 2w^2 - 5w

2w^2 - 5w - 33 = 0


w = 5.5, -3

-3 is an extraneous solution, so the only answer is w = 5.5

33 = 5.5l

\frac {33}{5.5} = ( \frac{5.5}{5.5})(l)


6 = l

The dimensions of the rectangle are a length of 6, and a width of 5.5
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