A cross shaped pattern is made by arranging four identical rectangles around the sides of a square. The area of the square is 36cm2. The area of each rectangle is one and a third times the size of the square

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 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:

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

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

its kind of blurry. can you put a clearer pic?

step-by-step explanation: