1.

The length of a rectangle is 16 cm and the length of its diagonal is 20 cm. Find the area of the rectangle​ ​

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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