Answer:
Area of a square is length * length
Area of a rectangle is length * breadth
In the question, the area of the square is 36
And the area of the rectangle is [tex]1(1/3)[/tex] the area of the square
To find the area of the rectangle, multiply 1(1/3) by the area of the square(36)
Area of rectangle becomes, 1(1/3) * 36 = (4/3) * 36 = 48cm2
To find the perimeter of the shape, we must find the perimeter of the rectangle - perimiter of the square
Since area of square is length * length, the length of the square is 6cm
The breadth of the rectangle is equal to the length of the square, hence, b = 6cm
Since, length * breadth = 48
l * 6 = 48
l = 8
Perimeter of the shape = 4 * perimeter of rectangle - perimter of square
Perimeter of rectangle = 2(l+b)
Perimeter of sqaure = 4l
Our answer = 4 * 2(6+8) - 4(6)
= 4 * 28 - 36
= 88cm
Step-by-step explanation:
Answer:
88cm
Step-by-step explanation:
The complete question is to Find the perimeter of the cross-shaped pattern.
See attachment for the figure.
If the area of the square is 36cm² , then the side length will be
s=√36=> 6cm
->If the area of each rectangle is one and a third times the area of the square
[tex]1\frac{1}{3}[/tex] x 36 = 48cm²
breadth of each rectangle will be equal to the side length of the square i.e 6 cm, we will have
length x breadth = Area
length x 6 = 48
length = 8cm
Next is to find the perimeter. According to the figure, the perimeter will be
P= 4 x perimeter of rectangle - perimeter of square
P= 4 x 2(8+6) - (4 x 6) => 4 x 2(14) -24
P=88cm
Therefore, the perimeter of the cross-shaped pattern is 88cm
