The l and b of a rectangle are (4x+15) and (3x +18) perimeter of the the rectangle is 332 m Find the l and b of the rectangle perimeter
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EXPLANATION:-
Permimeter of rectangle= 2(l+b)
Permimeter of given rectangle= 332
l and b of rectangle=4x+15,3x+18
So 2(4x+15+3x+18)=332
==>2(7x+33)=332
==>14x+66=332
==>14x=332-66
==>14x=266
==>x=266/14
==>x=19
So l=(4x+15)=19×4+15
l=91 m
b=3x+18=3×19+18
b=75 m
Answered by
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Perimeter of the rectangle = 2 × ( l + b ) = 332m
= 2 × [ ( 4x + 15 ) + ( 3x + 18 ) ] = 332m
= 2 × ( 7x + 33 ) = 332m
= 14x + 66 = 332m
IF,
14x + 66 = 332m
THEN,
x = ( 332 - 66 ) ÷ 14
x = 266 ÷ 14
x = 19
LENGTH = 4x + 15
= ( 4 × 19 ) + 15
= 76 + 15
= 91
BREADTH = 3x + 18
= ( 3 × 19 ) + 18
= 57 + 18
= 75
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