Q38 2011, Area and Perimeter

Consider the following figure and answer the item that follows:

15

48

A square is divided into four rectangles as shown above. The lengths of the sides of rectangles are natural numbers. The areas of two rectangles are indicated in the figure. What is the length of each side of the square?

नीचे दी गई आकृति पर विचार कीजिए और उसके पश्चात् दिए गए प्रश्नांश का उत्तर दीजिए:

15

48

ऊपर दिखाए अनुसार एक वर्ग को चार आयतों में विभक्त किया गया है। आयतों की भुजाओं की लंबाइयाँ धनपूर्ण संख्याएँ हैं। आकृति में दो आयतों के क्षेत्रफल अंकित हैं। वर्ग की प्रत्येक भुजा की लंबाई क्या है ?

Explanation Please wait..

Area 15 units can be 15 X 1 or 5 X 3. Area 48 units can be 48 X 1 or 24 X 2 or 16 X 3 or 12 X 4 or 8 X 6 Since the bigger figure is a square choose a combination with the length and breadth that forms a square: So if you take 5 units (from 15 units area) + 6 units (from 48 units area) or 8 units (from 48 units area) + 3 units (from 15 units area), it is equal to a side 11 square.

Mathematics

Q38 2011, Area and Perimeter

Consider the following figure and answer the item that follows:

15

48

A square is divided into four rectangles as shown above. The lengths of the sides of rectangles are natural numbers. The areas of two rectangles are indicated in the figure. What is the length of each side of the square?

Explanation Please wait..

व्याख्या Please wait..

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John Doe

Mathematics

Q38 2011, Area and Perimeter

Consider the following figure and answer the item that follows: 15 48 A square is divided into four rectangles as shown above. The lengths of the sides of rectangles are natural numbers. The areas of two rectangles are indicated in the figure. What is the length of each side of the square?

Explanation Please wait..

व्याख्या Please wait..

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Ancient History / प्राचीन इतिहास

John Doe

Consider the following figure and answer the item that follows:

15

48

A square is divided into four rectangles as shown above. The lengths of the sides of rectangles are natural numbers. The areas of two rectangles are indicated in the figure. What is the length of each side of the square?