Question

The area of a square of side 12 cm is the same as that of a rectangle of length 72

cm. What is the breadth of the rectangle?

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Answer 1

Answer:

the answer is 6cm

Step-by-step explanation:

side of the square is 12cm

the

$area \: of \: the \: square = {side}^{2}$

now we will calculate the area of the square by using the above formula,

$area \: of \: the \: square = {side}^{2} \\ = {12}^{2} \\ = 144 {cm}^{2}$

now ,

according to the question the area of the square is same as that of rectangle whose length is 72cm.

Now we know the formula of area of rectangle,

$area \: of \: rectangle = length \times breadth$

now area of rectangle is equal to area of square according to the question,

therefore putting on the values and finding the breadth,

$area \: of \: rectangle = length \times breadth \\ 144 {cm}^{2} = 72cm \times breadth \\ \frac{144 {cm}^{2} }{72cm} = breadth \\ 6cm = breadth$

therefore the breadth of the rectangle is 6cm.