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

The measure of the fourth side is
`(7)/(3)` .

Explanation:

Given as :

The Perimeter of rectangular store = ( 10 +
`(5)/(6)` ) inches

The measure of three sides of rectangle = ( 8 +
`(1)/(2)` ) inches

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

I,.e 2 L + B = ( 8 +
`(1)/(2)` ) inches .....1

∵ perimeter = ( 10 +
`(5)/(6)` ) inches

So , 2 L + 2 B = ( 10 +
`(5)/(6)` ) inches

Or, 2 L + B + B = ( 10 +
`(5)/(6)` ) inches

Or, ( 8 +
`(1)/(2)` ) + B = ( 10 +
`(5)/(6)` )

or, B = ( 10 +
`(5)/(6)` ) - ( 8 +
`(1)/(2)` )

Or, B = 10 - 8 + (
`(5)/(6)` ) -
`(1)/(2)`

or, B = 2 +
`(5-3)/(6)`

or, B = 2 +
`(1)/(3)`

∴ B =
`(6 + 1)/(3)` =
`(7)/(3)`

Hence The measure of the fourth side is
`(7)/(3)` . Answer