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Ber [7]
2 years ago
15

The length of a rectangle is 18 centimeters less than five times its width. its area is 35 square centimeters. find the dimensio

ns of the rectangle.
Mathematics
1 answer:
Studentka2010 [4]2 years ago
5 0
35 = 5*7
7 = 5*5 -18

The dimensions of the rectangle are: length = 7 cm, width = 5 cm.

_____
It is handy to know your times tables.

___
If you want, you can write a couple of equations and solve them.
.. L = 5W -18
.. LW = 35
Substituting for L, we have
.. (5W -18)W = 35
.. 5W^2 -18W -35 = 0 . . . . put in standard form
.. (W -5)*(5W +7) = 0 . . . . . factor
.. W = 5 or -7/5 . . . . . . . . . we are only interested in the positive solution

The width of the rectangle is 5 cm; its length is 7 cm.
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The complete question is as follows:

Jessica is a custodian at Oracle Arena. She waxes 20 \mathbf{m^{2}} of the floor in \mathbf{\frac{3}{5}} of and hour. At this rate, how many square meters can she wax per hour ?

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Step-by-step explanation:

\textrm{rate}=\frac{\textrm{Area waxed in square meter}}{\textrm{Time taken to wax in hours}}

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3 years ago
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Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

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b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

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a =  (39.2 * sin 30 / sin 124.4

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b). This is solved in a similar way to (a).

First find angle C  using the sine rule.

Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

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