Question

length of a rectangle is 16cm less than twice it's breadth. if the perimeter of the rectangle is100 cm find its length and breadth.​

Answer 1

GIVEN :-

• The length of a rectangle is 16 cm less than twice its breadth .
• perimeter of rectangle is 100 cm.

TO FIND :-

• The length and breadth of the rectangle.

SOLUTION :-

★ Let the breadth be "x".

★ Length be 2x - 16.

☢ ACCORDING TO QUESTION ☢

★ Perimeter of rectangle = 100 cm.

→ 2(Length + Breadth) = 100 cm

→ 2(2x - 16 + x) = 100

→ 2(3x - 16) = 100

→ 6x - 32 = 100

→ 6x = 100 + 32

→ 6x = 132

→ x = 132/6

→ x = 22

Hence the value of x is 22 cm.

★ Breadth = x = 22 cm.

★ Length = 2x - 16 = 44 - 16 = 28 cm.

Hence required value of Length and Breadth is 28 cm and 22 cm respectively.

Answer 2

Given :-

• Length of a rectangle is 16cm less than twice it's breadth.
• If the perimeter of the rectangle is 100 cm.

To Find :-

• Length and breadth

Solution :-

• Let the breath be 'x'
• Let the length be '2x - 16'

A.T.Q :-

We have,

★ Perimeter of the rectangle = 100 cm

So,

→ $\sf2\:(L + B) = 100\:cm$

Where,

• L = Length
• B = Breadth

Substitute the values of L and B we get,

$:\implies\sf2\:(2x - 16 + x) = 100 \\ \\ :\implies\sf2 \: (3x - 16) = 100 \\ \\:\implies\sf6x - 32 = 100 \\ \\ :\implies\sf6x = 100 + 32 \\ \\ :\implies\sf6x = 132 \\ \\ :\implies\sf x = \frac{\cancel{132}}{\cancel6} \\ \\ :\implies\underline{\boxed{\purple{\sf x = 22}}}$

Hence, the value of x is 22.

• Breadth = 22 cm.
• Length = 2x - 16 = 2(22) - 16 = 44 - 16 = 28 cm.

Hence, the value of breadth is 22 cm and length is 28 cm.