Question

The perimeter of a parallelogram is 40 meters. The width of the parallelogram is 8 meters less than its length. Find the length and the width of the parallelogram. x meters (x -8) meters The length of the parallelogram is The width of the parallelogram is

Answer 1

The perimeter of the parallelogram is P=40m

Its length is w= x - 8m

l=x

The perimeter of a parelalogram can be calculated as the sum of all its sides, or:

P=2(l+w)

Since its opposite sides are congruent.

Replace the formula with the expressions for the width and lenght to determine an equation. Then from this equation you can clear the value of x

`\begin{gathered} P=2(l+w)=2l+2w \\ 40=2x+2(x-8) \\ 40=2x+2x-16 \\ 4x=56 \\ x=14 \end{gathered}`

The length is l=x= 14m

The width is w=x-8=14-8= 6m