2 years ago

Help ================

Mathematics

1 answer:

creativ13 [48]2 years ago

6 0

Answer:

Step-by-step explanation:

x = 52° + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )

x = 142°

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The width of rectangle is $2\frac{1}{4}$ cm and length is $5\frac{5}{12}$ cm.

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = $w+3\frac{1}{6}=w+\frac{19}{6}$

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$\frac{46}{3}=2(w+\frac{19}{6}+w)\\\\\frac{46}{3}=2(2w+\frac{19}{6})\\\\\frac{46}{3}=4w+\frac{19}{3}\\\\4w+\frac{19}{3}=\frac{46}{3}\\\\4w=\frac{46}{3}-\frac{19}{3}\\\\\ 4w=\frac{46-19}{3}\\\\4w=\frac{27}{3}\\\\4w=9$

Dividing both sides by 4

$\frac{4w}{4}=\frac{9}{4}\\\\w=\frac{9}{4}$

Width of rectangle = $\frac{9}{4}=2\frac{1}{4}\ cm$

$Length = w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}\\\\Length = \frac{27+38}{12}=\frac{65}{12}\\\\Length=5\frac{5}{12}\ cm$

The width of rectangle is $2\frac{1}{4}$ cm and length is $5\frac{5}{12}$ cm.

Keywords: rectangle, perimeter

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