Three times the length of a rectangle is equal to five times its breadth . If the perimeter of the rectangle is 32 cm . Find the length and the breath of the rectangle
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Answer:
Length = 10 unit
Breadth = 16 unit
Step-by-step explanation:
According to question
3L = 5B
L = 5B/3 .......(1)
and
Perimeter = 2(L + B) = 32
L + B = 32/2
L + B = 16
from equation (1)
5B/3 + B = 16
5B/3 + 3B/3 = 16
(5B + 3B)/3 = 16
8B/3 = 16
8B = 48
B = 48/8
B = 6 unit
If B = 6 then from equation (1)
L = 5B/3
= (5 × 6)/3
= 30/3
= 10 unit
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