Question

Q.5 Length of rectangle is 4 m 2 points
less than 3 times its breadth. If
the perimeter of rectangle is
32 m. Find its length and
breadth.
O A) Length = 5m , Breadth = 11m
O B) Length = 11m , Breadth = 5m
O C) Length = 15m, Breadth = 11m
O D) Length = 11 m, Breadth = 15 m​

Answer 1

Question :-

• Length of rectangle is 4 m less than 3 times its breadth. If the perimeter of rectangle is 32 m. Find its length and breadth.

Given :-

• Length of Rectangle is 4m less then 3 times of Breath.
• Perimeter of the Rectangle = 32m

To Find :-

• Measures of Length and Breadth.

Solution :-

Let the Breadth be x

Then, the Length will be 3x - 4

According to the Question :-

★Perimeter = 2( Length + Breadth)★

⇛ 32 = 2( 3x - 4 + x)

⇛ 32 = 2( 4x - 4 )

⇛ 32/2 = 4x - 4

⇛ 16 + 4 = 4x

⇛ 20 = 4x

⇛ 20/4 = x

⇛ 5 = x

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∴ Breadth = x = 5m

∴ Length = 3x - 4 = 3 × 5 - 4 = 15 - 4 = 11m

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So, the Correct Option is B.

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Additional Info. :-

• Perimeter of Parallelogram = 2(Base + Height)
• Perimeter of Triangle = Side + Side + Side
• Perimeter of Rectangle = 2(Length + Breadth)
• Perimeter of Square = 4× Side
• Perimeter of Rhombus = 4 × Side
• Perimeter of Hexagon = 6 × Side
• Perimeter of Heptagon = 7 × Side
• Perimeter of Octagon = 8 × Side

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Answer 2

Hiii!!!

Here's Ur answer...

B) Length = 11m , Breadth = 5m

ATQ, the length of the rectangle is 4m less than 3 times it's breadth (width).

Let the breadth of the rectangle be x.

Therefore the length of the rectangle = 3x - 4

The Perimeter of the rectangle = 32m

==> 2 ( l + b ) = 32m

==> 2 ( 3x - 4 + x ) = 32m

==> 4x - 4 =  $\frac{32}{2}$

==> 4x - 4 = 16

==> 4x = 16 + 4

==> 4x = 20

==> x = $\frac{20}{4}$

==> x = 5

Hence, breadth of the rectangle = x

= 5m

Length of the rectangle = 3x - 4

= 3 × 5 - 4

= 15 - 4

= 11m

Hope this helps..!!

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