the length of a rectangle is twice its breadth and its area is 400 CM square find the length and breath of the rectangle
Answers
Given:-
- The length of rectangle is twice its breadth.
- Area of rectangle is 400 cm².
To find out:-
Find the length and breadth of given rectangle.
Formula used:-
Area of rectangle = Length × Breadth
Solution:-
Let the breadth be x
Then,length = 2x
According to the question ,
Area of rectangle = 400 cm² [ Given ]
⇒ Length × Breadth = 400
★ Substituting the values of length and breadth in the above formula,we get:
⇒ x × 2x = 400
⇒ 2x² = 400
⇒ x² = 400/2
⇒ x² = 200
⇒ x = √200
⇒ x = 14.14 cm
Now,
★ Breadth = x = 14.14 cm
★ Length = 2x = 2 × 14.14 = 28.28 cm
Thus,the length and breadth of rectangle are 28.28 cm and 14.14 cm respectively.
Answer:
YOUR QUESTION :
the length of a rectangle is twice its breadth and its area is 400 CM square find the length and breath of the rectangle.
YOUR ANSWER :
Given:-
- The length of rectangle is twice its breadth.
- Area of rectangle is 400 cm².
To find out:-
- Find the length and breadth of given rectangle.
Formula used:-
- Area of rectangle = Length × Breadth
Solution:-
- Let the breadth be x
- Then,length = 2x
Area of rectangle = 400 cm² [ Given ]
=> Length × Breadth = 400
=> x × 2x = 400
=> 2x² = 400
=> x² = 400/2
=> x² = 200
=> x = √200
=> x = 14.14 cm
ANS :
1) Breadth = x = 14.14 cm
2) Length = 2x = 2 × 14.14 = 28.28 cm