Question

the area of a square is 64 cm 2. a rectangle has the same perimeter as the square. if the length of the square is 9 cm, find its breadth

Answer 1

Answer:

7 cm

Step-by-step explanation:

Let the side of a square be x

x × x = 64

x = 8cm

Perimeter of square = Side × 4 cm

8 × 4 cm

32 cm

Perimeter of square = Perimeter of rectangle

32 cm = 2 ( l + b )

32 cm = 2 ( 9 + b )

32/2 = 9 + b

16 cm = 9 + b

b = 16 - 9

b = 7cm

Answer 2

Answer:

=> The value of breadth is 7cm.

Step-by-step explanation:

Given that:-

The area of a square is $64cm^2.$

Length is 9cm,

To find - the breadth of the square,

Let, 'x' be the side of a square,

As we know that,

Area of square = $side^2$

By using the formula,

$=> x \times x = 64$

$=> 2x=64\\=> x= 8cm$

Now, the perimeter of the square = side $\times 4$

$=> 8 \times 4 cm$

$=> 32cm$

The perimeter of square = Perimeter of rectangle

$=> 32 cm = 2 ( l + b )$

$=>32 cm = 2 ( 9 + b )$

$=>\frac{32}{2} = 9 + b$

$=>16 cm = 9 + b$

$=>b = 16 - 9$

$=>b = 7cm$

Hence, the breadth of the square is 7cm.