Question

The sides
ga a rectangle are in a ratio 5'4 and its
perimeter is 90cm. Find its length and breath​

Answer 1

Step-by-step explanation:

Its length and breadth are 25 cm and 20 cm respectively.

The sides of a rectangle are in the ratio 5:4

Let the ratio be x

so, Length = 5x

Breadth = 4x

Perimeter of rectangle = 2(l+b)2(l+b)

                                      = 2(5x+4x)2(5x+4x)

                                      = 2(9x)2(9x)

Now we are given that its perimeter is 90 cm

So, 2(9x)=902(9x)=90

18x=9018x=90

x=\frac{90}{18}x=1890

x=5x=5

So, Length = 5x = 5 \times 5 = 25cm5x=5×5=25cm

Breadth = 4x= 4\times 5 =20cm4x=4×5=20cm

Hence its length and breadth are 25 cm and 20 cm respectively.

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Answer 2

Answer:

Length 25cm,Breadth 20cm

Step-by-step explanation:

Ratio is x

Length = 5x

Breadth = 4x

Perimeter of a rectangle formula = 2(l+b)

2(5x+4x)

=2(9x)

So now 2(9x) = 90

18x=19

x=90/18

x=5

Now the length is = 5x= 5×5=25cm

And the breadth is = 4x = 4×5=20cm