Question

The length and breadth of a rectangle is goven in the ratio 5 : 10. Find it's length and breadth if the Perimeter is 900.​

Answer 1

Question~

The length and breadth of a  rectangle is in the ratio 5:4. If its  perimeter is 90 m, then its area  will be :

(a) 500 m²

(b) 360 m²

(c) 540 m²

(d) 900 m²

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Given :

The ratio of Length and Breadth = 5:4

The perimeter of Rectangle = 90 m

To find :

the area

Solution :

⇒ Let the length be 5x and breadth be 4x.

Perimeter of Rectangle = 2 (l + b)

90 = 2 (5x + 4x)

90 = 2 (9x)  

90 = 18x  

 x = 90/18

    = 5

→ Length of Rectangle = 5x

= 5 × 5

= 25 m

→ Breadth of Rectangle = 4x

= 5 × 4

= 20 m

⇒ Now, let's find the Area.

Area = l × b

       = 25 × 20

       = 500 m²

Therefore, option (a) 500 m² is the right answer.

                        ____________________

Question~

If the hypotenuse of a right triangle  is 5 cm and base is 4 cm, then find  its height.  

(a) 6 cm

(b) 3 cm

(c) 4 cm

(d) 8 cm​

--------------------

Given :

Hypotenuse = 5 cm

Base = 4 cm

To find :

the height

Solution :

⇒ Let's find the Height, by using the Pythagoras theorem.

= (base)² + (height)² = (hypotenuse)²

= (4)² + (height)² = 5²

Height = √(5)²- (4)²

          = √25 - 16

          = √9

          = 3 cm

Therefore, the height of the right triangle is 3 cm.

here is a example for your answer

Answer 2

5:10 is the ration pf length and breadth

let length be 5x and breadth be 10x

We know that perimeter of rectangle = 2(l+b)

and perimeter is given 900

therefore,

900 = 2(5x + 10x)

900 = 2(15x)

900 = 30x

900/30 = x

30 = x

now,

length = 5x = 5×30 = 150

breadth = 10x = 10×30 = 300

hope it helps you