The length and breadth of a rectangle are in the ratio 4 : 3. If the diagonal measures 25 cm then find the perimeter of the rectangle.
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60 cm
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Step-by-step explanation:
Let length = 4x
Breadth = (3/4)*4x = 3x
Length² + Breadth² = 25²
(4x)² + (3x)² = 25²
16x² + 9x² = 25²
25x² = 25*25
x² = 25
x = 5
Length = 4x = 4*5 = 20 cm
Breadth = 3x = 3*5 = 15 cm
Diagonal = 25 cm
Perimeter = 20+15+25 = 60 cm
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