Question

4. A wire when bent in the form of a rectangle 10 m wide covers an area of 300 m2. The same wire is then bent in the form of a square. Find the area of the square. [4]​

Answer 1

Answer:

400 square metres

Step-by-step explanation:

$breadth = \frac{area}{length} \\ \\ = \frac{300}{10} \\ \\ = 30 \: m \\ \\ perimeter = 2(l + b) \\ \\ = 2(30 + 10) \\ \\ = 2(40) \\ \\ = 80 \: m \\ \\ side \: of \: square = \frac{80}{4} \\ \\ = 20 \: m \\ \\ area \: of \: square = {side}^{2} \\ \\ = {20}^{2} \\ \\ = 400 \: {m}^{2} .$