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pair of adjacent sides of a rectangle are in the ratio 3:4. If its diagonal is 20 cmfind the lengths of the sides and hence, the perimeter of the rectangle.3. |
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Answer» Given length:breadth = 4:3Let length = 4x and breadth = 3xDiagonal = 20 cmSince the diagonal and the two adjacent sides of a rectangle form a right angled triangleBy Pythagoras theorem, we have20²= (4x)2+ (3x)2400 = 16x2+ 9x2= 25x2⇒ x2 = 16∴ x = 4Hence length = 4x = 16 m and breadth = 3x = 12 mPerimeter of rectangle = 2(length + breadth) = 2(16+12) = 56 m |
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