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katen-ka-za [31]

2 years ago

12

The width of a rectangle is 5 more than twice the length. If the perimeter of the rectangle is 190 meters ,what is the width of

the rectangle?

1 answer:

slega [8]2 years ago

6 0

P=2(l+w)

190=2[(2l+5)+l)
190=4l+10+2l
190=6l+10
180=6l
l=30

190=2(30+w)
190=60+2w
130=2w
w=65

The width of the rectangle is 65.

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Step-by-step explanation:

Given

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$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

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$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

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$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

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$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

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