Question

The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.

Answer 1

Given :

• The Perimeter of the rectangle is 60 cm
• The ratio of the length to the width is 3:2.

To Find :

• The Length and width of the rectangle .

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Solution :

We know that,

$\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}$

Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.

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Now, Substituting the given values in the formula :

$\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}$

$\qquad \dashrightarrow{ \sf{2(6x)= 60}}$

$\qquad \dashrightarrow{ \sf{12x= 60}}$

$\qquad \dashrightarrow{ \sf{x= \dfrac{60}{12} }}$

$\qquad \dashrightarrow{ \bf{x= 5}}$

Therefore,

$\qquad { \pmb{ \bf{ Length _{(rectangle)} = 3x \: = 3(5) = 15 \: inches}}}\:$

$\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:$