Question

the measure of two adjacent side of sides of rectangle are in ratio 5 ratio 3 if the perimeter of rectangle is 80 cm find its length and breadth​

Answer 1

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• The Length of the rectangle = 25 Cm
• The Breadth of the rectangle = 15 Cm

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• The measure of two adjacent side of sides of rectangle are in ratio 5:3.
• The perimeter of rectangle is 80 cm.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• The Length of the rectangle = ?
• The Breadth of the rectangle = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

Let Length of the rectangle be 5x.

And Breadth of the rectangle be 3x.

$\sf\underline{\red{\:\:\: Formula\:used\: here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Perimeter \:of \:rectangle = 2 \times (Length + Breadth) }$

$\sf\underline{\red{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {80 = 2 \times (5x + 3x)}$

$\dashrightarrow \sf {80 = 10x + 6x}$

$\dashrightarrow \sf {80 = 16x}$

$\dashrightarrow \sf {x = \dfrac{\cancel{80}}{\cancel{16}}\:}$

$\dashrightarrow \sf {x = 5}$

$\sf\underline{\pink{\:\:\: ThereFore:-\:\:\:}}$

The Length of the rectangle = 5x

The Length of the rectangle = 5 × 5

The Length of the rectangle = 25 Cm

$\sf\underline{\pink{\:\:\: And:-\:\:\:}}$

The Breadth of the rectangle = 3x

The Breadth of the rectangle = 3 × 5

The Breadth of the rectangle = 15 Cm

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