Question

two adjacent sides of a rectangle are in ratio of 2:3 . If the perimeter of rectangle is 190cm. What is the length of sides in increasing order​

Answer 1

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Answer 2

Given :

Perimetre of the rectangle : 190 cm

Ratio of the adjacent sides : 2:3

To find :

The measurement of the adjacent sides of the rectangle.

Solution :

We can find the values of lengths nd breadth by the formula of perimetre of the rectangle.

$\sf \dashrightarrow {Perimetre}_{(Rectangle)} = 2 \: (Length + Breadth)$

$\sf \dashrightarrow 190 = 2 \: (2x + 3x)$

$\sf \dashrightarrow 190 = 2 \: (5x)$

$\sf \dashrightarrow \dfrac{190}{2} = 5x$

$\sf \dashrightarrow 5x = \dfrac{190}{2}$

$\sf \dashrightarrow 5x = 95$

$\sf \dashrightarrow x = \dfrac{95}{5}$

$\sf \dashrightarrow x = 19$

Now, we can find the measurements of the length and breadth.

Measurement of Breadth :

$\sf \dashrightarrow 2x = 2(19)$

$\sf \dashrightarrow 38 \: cm$

Measurement of Length :

$\sf \dashrightarrow 3x = 3(19)$

$\sf \dashrightarrow 57 \: cm$

Hence, the breadth and length of the rectangle measures 38 and 57 cm respectively.