the figure is made up of 2 identical squares and has a perimeter of 42 inches what is the are of one square
a)7in b)28in
c)49in d)84in
please be fast
So one square has a perimeter of 21 inches.
And since the square has 4 equal sides, each side is ....
Once you have the length of the side,
area = side^2
btw, your answer choices have the wrong units, should be inches^2,
and the correct answer is rounded to the nearest whole square inch.
To find the area of one square, we first need to figure out the length of one side of the square.
Since the figure is made up of 2 identical squares, divide the perimeter by 2 to get the perimeter of one square.
Perimeter of one square = 42 inches / 2 = 21 inches.
The perimeter of a square is given by the formula: Perimeter = 4 * side length.
Therefore, 21 inches = 4 * side length.
To find the length of one side, divide both sides of the equation by 4.
Side length = 21 inches / 4 = 5.25 inches.
The area of a square is given by the formula: Area = side length * side length.
Therefore, Area = 5.25 inches * 5.25 inches = 27.5625 square inches.
Rounded to the nearest whole number, the area of one square is 28 square inches.
Therefore, the correct answer is b) 28in.
To find the area of one square, we need to first determine the side length of the squares. Since the figure is made up of two identical squares, we divide the perimeter by 2.
Given that the perimeter of the figure is 42 inches, we calculate the side length of one square by dividing 42 by 2:
Side length = Perimeter / 2 = 42 in / 2 = 21 in.
Now that we have the side length of the squares, we can find the area of one square by squaring the side length:
Area = Side length^2 = 21 in * 21 in = 441 in^2.
Therefore, the area of one square is 441 square inches.
The correct answer is c) 49 in.