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 If a width of the rectangle is the same as a side of the square, how long is a length of the rectangle?

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875
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avatar+1982 

In a square, the sum of the lengths of three sides is 48 and in a rectangle the difference between a length and a width is 7 in. If a width of the rectangle is the same as a side of the square, how long is a length of the rectangle?

 

A. 37

B. 32

C. 23

D. 17

 

 

 

 

Given the following figure, what is the value of x?

 

A. 144


B. 92


C. 11


D. 10

 Jan 15, 2020

2+0 Answers

 #1
avatar+129852 
+3

The length  of one side of the square must  be  48 / 3   =   16

 

And in the rectangle we have that

 

L - W  = 7

 

So

 

L - 16  = 7   add 16 to both sides

 

L  = 23

 

 

cool cool cool

 Jan 15, 2020
 #2
avatar+129852 
+3

Second one

 

We have an irregular pentagon

 

The sum of the interior angles  = 540°

 

So

 

84  +  12x  + 92  + (9x - 16)  +  (13x + 6)  = 540       simplify

 

166 +  34x  = 540              subtract 166 from both sides

 

34x  = 374        divide both sides by  34

 

x  = 11

 

 

 

cool cool cool

 Jan 15, 2020

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