Question

Provide an explanation please

Answer 1

Answer: 84m

Explanation:

If one of the perimeters are 2m longer than the other that means on side can be expressed as x and the other expressed as x+2

So the equation for the area is
`x^(2) \\`+2x

Becasue the shaded area has an gap of in it we need to find the area of the gap to find the total area of the square

0.5x3x4=6

114+6

So the total area is 120

So we can use the area equation from before to figure out x

120=
`x^(2) \\`+2x

0=
`x^(2) \\`+2x-120

0=(x-10)(x+12)

Since its a measurement x must equal 10

Now we know that one side is 20m and the other is 22m

So the perimetre must be 84