Question

the length of a rectangle is 2 cm more than 3 times its breadth. if the perimeter is 100 cm, find the length and the breadth of the rectangle.​

Answer 1

Step-by-step explanation:

100= 2(3x+2+x)

100= 2(4x+2)

100= 8x+4

100-4 =8x

96=8x

96/8= x

12= x

Length = 12 cm

Breadth = (12 x 3) +2 = 36+2 = 38 cm

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Answer 2

Answer:

• The Length and breadth are 38cm and 12cm respectively

Step-by-step explanation:

Stated:

• the length of a rectangle is 2 cm more than 3 times its breadth.
• The perimeter of the rectangle is 100cm

To Attain:

• The measure of the length and breadth

We know that,

• Perimeter = 2( Length + Breadth)

Let us assume:

• Length of the rectangle = 3x + 2cm
• Breadth of the rectangle = x

Solution :

⟶ Perimeter = 2 ( L + B )

⟶ 100cm = 2 ( 3x + 2cm + x )

⟶ 100cm = 6x + 4cm + 2x

⟶ 100cm = 8x + 4cm

⟶ 96cm =8x

⟶ x = 96cm/8

⟶ x = 12cm

Therefore:

• Length = 3x + 2cm = 3(12cm) +2cm= 38cm
• Breadth = x = 13cm