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
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
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