Question : The length of each diagonal of a rectangle is 50 cm. If its breadth is 14 cm, then what will be the area of the rectangle?
Option 1: 832 cm2
Option 2: 716 cm2
Option 3: 784 cm2
Option 4: 672 cm2
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Correct Answer: 672 cm 2
Solution : Given: The length of each diagonal of a rectangle is 50 cm. Its breadth is 14 cm. $\text{Diagonal}^2=\text{Length}^2+\text{Breadth}^2$ ⇒ ${50}^2={14}^2+\text{length}^2$ ⇒ $2500 = 196 +\text{length}^2$ ⇒ $\text{length}^2=2500-196=2304$ ⇒ $\text{length}= 48\ \text{cm}$ The area of the rectangle $=\text{length}\times \text{breadth}=48\times 14 =672\ \text{cm}^2$ Hence, the correct answer is 672 cm 2 .
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