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The length of a rectangle is 16 cm and the length of its diagonal is 20 cm. Find the area of the rectangle |
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Answer» The Length, breadth and Diagonal of a rectangle form a right-angled TRIANGLE with the length and breadth as the PERPENDICULAR SIDES and the diagonal as the hypotenuse.∴ diagonal² = length² + breadth² (by the Pythagorean THEOREM)∴ 20² = 16² + b²⇒ 20² - 16² = b²⇒144 = b²∴ B = √144 cm = 12 cmArea of rectangle = length × breadth= (16 × 12)cm²= 192 cm² |
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