Question

the length of a rectangle is twice it's breath if perimeter of the rectangle is 180 cm find the dimensions

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Answer 1

Answer:

Answer:

THE ANSWER IS

LENGTH = 60 CM

BREADTH = 30 Cm

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Answer 2

GIVEN :-

• lenghth of rectangle is twice it's breath

• perimeter of rectangle = 180 cm

TO FIND :-

• all the dimensions of rectangle

SOLUTION :-

we have given that ,

lenghth of rectangle is twice it's breath

let length be ‘ l ’ and breath be ‘ b ’

HENCE , according to the question

l = 2b ------- eq ( 1 )

now we have given that ,

perimeter of rectangle = 180 cm

so , as we know that

$\implies \boxed{ \rm{perimeter \: of \: rectangle = 2 \: ( \: l + b \: )}}$

$\implies \rm{180 = 2 \: ( \: l + b \: )}$

$\implies \rm{180 = 2 \: l +2 \: b \: }$

now from eq (1) replacing the value of 2b

$\implies \rm{180 = 2 \: l +l\: }$

$\implies \rm{180 = 3 \times l\: }$

$\implies \rm{ \dfrac{180}{3} = l\: }$

$\implies \rm{ \bold{ l = 60 \: } }$

now put the value of l in eq (1)

$\implies \rm{ l \: = 2 \: b}$

$\implies \rm{ 60 \: = 2 \: b}$

$\implies \rm{ \dfrac{60}{2} \: = \: b}$

$\implies \rm{ \bold{ b = 30 \: } }$

HENCE,

$\implies \boxed{ \boxed { \rm{length \: = 60 \: cm \: \:and \: breath =30 \: cm }}}$

OTHER INFORMATION :-

Rectangle Formula :

• Rectangle formulas include the formula for area, perimeter, and diagonal of a rectangle. To recall, a rectangle is a four sided polygon and the length of the opposite sides are equal. A rectangle is also called as an equiangular quadrilateral, as all the angles of a rectangle are right angled. A rectangle is a parallelogram with right angles in it. When the four sides of a rectangle are equal, then it is called a square.

Formula for Rectangle :

There are mainly three formulas for rectangle – Perimeter, Area and Diagonal. The formulas for area, perimeter, and diagonal of a rectangle are:

• area = length × breath

• perimeter = 2 ( length + breath )

• diagonal = $\rm{ \sqrt{l {}^{2} + {b}^{2} }}$