Answer:
278.64cm²
Step-by-step explanation:
Area of the sheet left out = Area of the square - Area of the 9 circles
Area of the square = L^2
L is the side length of the square
A = 36^2
Area of the square = 1296cm^2
Diameter of a circle = 38/3 = 12cm
Area of a circle = πr²
r is the radius = 12/2 = 6cm
Area of a circle = 3.14(6)²
Area of a circle = 3.14 * 36
Area of a circle = 113.04cm²
Area of 9 circles = 9 * 113.04
Area of 9 circles = 1,017.36cm²
Area of the left over = 1296 - 1,017.36
Area of the left over = 278.64cm²
By pythagoras Theorem.
x² +12²=13²
=>x² +144 =169
=>x² =169-144=25
=>x=√25=5 unit.
Hence x=5 is your answer.
Hope it helps...
Regards,
Leukonov/Olegion.
I think it’s always because the absolute value is always positive.
Since the rectangles are similar. The ratio of their sides will be the same.
So, we can write:

Therefore, the left side of the bigger rectangle will be 12 units in length.
6y = 24 -3x
divide both sides by 6.
y = (x)/2 +4