Question

The length and breadth of a rectangle are (3x+4)cm and (4x_13)cm.if the perimeter of the rectangle is 94 cm then x=

Answer 1

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Perimeter = 2(l+b)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 94 = 2((3x + 4) + (4x - 13) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 94 = 2(7x - 9) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 94 = 14x - 18 \\ \: \: \: \: \: \: \: \: \: 94 + 18 = 14x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 112 = 14x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{112}{14} = x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 8$

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Answer 2

Given:

Length of the rectangle(l)=3x+4

Breath of the rectangle(b)=4x-14

Perimeter of the rectangle=94

Perimeter of the rectangle=2(l+b)

94=2(3x+4+4x-13)

94/2=7x-9

47=7x-9

47+9=7x

56=7x

56/7= x

8=x

Hence, length of the rectangle=3x+4

=3(8)+4

=24+4

=28

Breath of the rectangle=4x-13

=4(8)-13

=32-13

=19