The length and breadth of a rectangle are in the ratio 4:3 . If the diagonal measures 25 cm , then find it's perimeter.
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Perimeter = 70
Step-by-step explanation:
length : breadth :: 4:3
length = 4x
breadth = 3x
by Pythagoras theorem
(4x)² + (3x)² = 25²
16x² + 9x² = 625
25 x² = 625
x² = 25
x = 5
length = 5×4 = 20
breadth = 5×3 = 15
perimeter = 2(l+b)
= 2(15+20)
= 2×35
= 70
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