Question

The perimeter of a rectangular store receipt is ten and five-sixths inches. If three of the sides total eight and one-half inches, what is the length of the fourth side

Answer 1

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