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Answer:
(a)
l*b = 3x
(x-5)8=3x
8x-40=3x
8x-3x=40
5x=40
x=8cm
(b)
2(l+b)=40
2((x-5)+8)=40
x-5+8=20
x+3=20
x=17cm
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Given :
- Length of rectangle = x - 5 cm
- Breadty of rectangle = 8 cm
- Area of rectangle = 3x cm²
- Perimeter of rectangle = 40 cm
To Find :
- Value of x
Solution :
Case 1 :-
Area of rectangle = L * B
➨ 3x = ( x - 5 ) * 8
➨ 3x = 8x - 40
➨ 3x - 8x = - 40
➨ - 5x = - 40
➨ x = - 40 / - 5
➨ x = 8
Case 2 :-
Perimeter of rectangle = 2 ( L + B )
➨ 40 = 2 ( x - 5 + 8 )
➨ 40 = 2 ( x + 3 )
➨ 40 = 2x + 6
➨ 2x = 40 - 6
➨ 2x = 34
➨ x = 34 / 2
➨ x = 17
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