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

Answer:

x=1

Step-by-step 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:

$16x-4=8x+4\\16x-8x=4+4\\8x=8\\x=\frac{8}{8} \\x=1$