Question

A square and a rectangle have the same perimeters.The lenght of a side of the suare is 4x-1.The lenght of the rectangle is 2x+2 and the widt is 2x.Wite and solve an euation to find x

Answer 1

x=1

Explanation:

perimeter of the square is
`4(4x-1)=16x-4`

perimeter of the rectangle is
`2(2x+2) + 2(2x)= 4x+4+4x=8x+4`

As rectangle and square have the same perimeter, we get that:

`16x-4=8x+4\\16x-8x=4+4\\8x=8\\x=(8)/(8) \\x=1`