Respuesta :

56 / 4 = 14

14 x 14 =196msquared

Answer:

area of Jonah's backyard is, 196 meter square

Step-by-step explanation:

Perimeter(P) of square is given by:

[tex]P =4a[/tex]

where a is the side of thew square

As per the statement:

The perimeter of Jonah's square backyard is 56 meters

⇒[tex]P = 56 m[/tex]

Using the perimeter formula to solve for a:

[tex]56 =4a[/tex]

Divide both sides by 4 we have;

[tex]14 =a[/tex]

or

a = 14 m

Area of a square(A) is given by:

[tex]A = a^2[/tex]

Substitute the given value of a = 14 m to get area;

[tex]A = 14^2 = 196 m^2[/tex]

Therefore, the the area of Jonah's backyard is, 196 meter square