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andre [41]
3 years ago
7

The perimeter of a rectangular store receipt is ten and five-sixths inches. If three of the sides total eight and one-half inche

s, what is the length of the fourth side
Mathematics
1 answer:
serg [7]3 years ago
7 0

Answer:

The measure of the fourth side is \frac{7}{3} .

Step-by-step explanation:

Given as :

The Perimeter of rectangular store =  ( 10 + \frac{5}{6} )  inches

The measure of three sides of rectangle =  ( 8 + \frac{1}{2} )  inches

So, The measure of three sides = length + breadth + length

I,.e   2 L + B =  ( 8 + \frac{1}{2} )  inches      .....1

∵ perimeter =  ( 10 + \frac{5}{6} )  inches

So ,  2 L + 2 B = ( 10 + \frac{5}{6} )  inches

Or,  2 L + B + B = ( 10 + \frac{5}{6} )  inches

Or, ( 8 + \frac{1}{2} ) + B =  ( 10 + \frac{5}{6} )

or, B =  ( 10 + \frac{5}{6} ) -  ( 8 + \frac{1}{2} )

Or, B = 10 - 8 +  (\frac{5}{6} ) -  \frac{1}{2}

or, B = 2 +  \frac{5-3}{6}

or, B = 2 +  \frac{1}{3}

∴   B =  \frac{6 + 1}{3}  =  \frac{7}{3}

Hence The measure of the fourth side is \frac{7}{3} . Answer

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