Question

a square and rectangle have equal area if the side of the square is 24 cm and the weight of the rectangle is 16 cm find the length of rectangle in cm and the area of rectangle in cm
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Answer 1

Answer:

Length = 6 cm

Area = 96 cm²

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Answer 2

Answer:

Length of rectangle is 36cm. Area of rectangle is 576cm.

Step-by-step explanation:

according to the question,

width of rectangle= 16cm

side of square= 24cm

length of rectangle=?

Now, applying the formula,

$Area \: of square= {side}^{2}$

$Area \: of rectangle= length × breadth$

According to condition in question,

$Area \: of rectangle= Area \: of square \\ length \times width = {side}^{2} \\ length \times 16cm = {(24cm)}^{2} \\ length \times 16cm = 576 {cm}^{2} \\ length = \frac{576 {cm}^{2}}{16cm} \\ length = 36cm \\ \\ \\ area \: of \: rectangle = 36cm \times 16cm \\ = 576 {cm}^{2}$