A square and a rectangle have equal areas.
A square and a rectangle have equal areas. The square’s side is 20 cm, and the rectangle’s length is 25 cm. Find its breadth.
एक वर्ग और एक आयत का क्षेत्रफल बराबर है। वर्ग की भुजा 20 सेमी है और आयत की लंबाई 25 सेमी है। इसकी चौड़ाई ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
16 cm/ 16 सेमी
Area of the square
$= 20 \times 20 = 400 \text{ cm}^2$
Since the square and the rectangle have equal areas,
Area of the rectangle $= 400 \text{ cm}^2$
Let the breadth of the rectangle be $b$ cm.
Then,
$25 \times b = 400$
$b = \frac{400}{25} = 16$
Therefore, the breadth of the rectangle is 16 cm.
Answer: (B) 16 cm / 16 सेमी
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