Respuesta :
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