Question : What is the area of a square whose diagonal is $5 \sqrt{2}$ cm?
Option 1: 64 cm2
Option 2: 25 cm2
Option 3: 100 cm2
Option 4: 36 cm2
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Correct Answer: 25 cm2
Solution : Diagonal of a square, $D$ = $5 \sqrt{2}$ cm Area of a square = $\frac{1}{2}D^2$ = $\frac{1}{2}(5 \sqrt{2})^2$ = $\frac{50}{2}$ = 25 cm2 Hence, the correct answer is 25 cm2.
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Question : If the area of a square is 529 cm2, then what is the length of its diagonal?
Option 1: $23\mathrm{~cm}$
Option 2: $26 \sqrt{3} \mathrm{~cm}$
Option 3: $23 \sqrt{2 } \mathrm{~cm}$
Option 4: $46 \mathrm{~cm}$
Question : 5 times the perimeter of a square is 600 cm. What will be the area of this square?
Option 1: 900 cm2
Option 2: 1150 cm2
Option 3: 750 cm2
Option 4: 480 cm2
Question : The breadth of a rectangle is $\frac{4}{5}$th of the radius of a circle. The radius of the circle is $\frac{1}{5}$ of the side of a square, whose area is 625 cm2. What is the area of the rectangle if the length of the rectangle is 20 cm?
Option 1: 150 cm2
Option 2: 600 cm2
Option 4: 80 cm2
Question : The area of a square is 144 cm2. What is the length of each of its diagonals?
Option 1: $14 \sqrt{2} \mathrm{~cm}$
Option 2: $6 \sqrt{2} \mathrm{~cm}$
Option 3: $12 \sqrt{2} \mathrm{~cm}$
Option 4: $12 \mathrm{~cm}$
Question : The length of each side of a square is 16 cm. What is the area of the square?
Option 1: 112 cm2
Option 2: 176 cm2
Option 3: 128 cm2
Option 4: 256 cm2
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