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