Question

A plot of land is in the shape of a triangle. If one side is x meters, a second side (5x−3) meters, and a third side is ​( 7x − 6 ​) ​meters, express the perimeter of the lot as a simplified expression in x.

Answer 1

Given, the plot is in the shape of triangle.

First side = x meter

Second side = ( 5x-3 )meters

Third side = ( 7x-6 ) meters

Perimeter of triangle is equal to the sum of all the three sides.

Perimeter =
`x + (5x-3) + (7x-6)`

Combine like terms by adding all the x terms together and all the constant terms together.

Perimeter =
`(x+5x+7x) + ( -3 -6 )`

Perimeter =
`13x - 9` feet ... Answer