Question

The sides of a rectangular piece pf paper are in the ratio 2:3.If the area is 150sq.cm,Find The Length of its side\

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Answer 1

Answer:

length=15cm, breadth=10cm

Step-by-step explanation:

2x*3x=150

6xsquare=150

xsquare=150/6

x=25 square root

x=5

2*5=10

3*5=15

Answer 2

Given data,

The sides of a rectangle piece of paper are given in the ratio $2:3$

Let the length of the rectangular piece of paper be $2x$

Let the breadth of the rectangular piece of paper be $3x$

The area of a rectangle piece of paper are given as $150cm^{2}$

Area of rectangle = length $\times$ breadth

$150=2x\times3x$

$6x^{2} =150$

$x^{2} =\frac{150}{6}$

$150$ can be written as $6\times25$

$x^{2} =\frac{6\times25}{6}$

The number six in both numerator and denominator get cancelled we get it as,

$x^{2} =25$

$x=$ ±$5$

As length should not be negative value

$x=$ $5$

The length of the rectangular piece of paper $2x$

$2x=2(5)=10cm$

The breadth of the rectangular piece of paper be $3x$

$3x=3(5)=15cm$

Therefore, the length and breadth of rectangular piece of paper is $10cm,15cm$