if the sides of a rectangle are in ratio 3:2 and area is 1536meter square find sides of rectangle
Answers
Step-by-step explanation:
Let sides be 3x and 2x.
3x × 2x=1536
x=1536÷6
x=256
3x=768
2x=512
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Answer:
The length and breadth of the Rectangle is
48 m and 32 m respectively
Step-by-step explanation:
Given-:
The sides are in ratio 3:2
Area of the rectangle is 1536 m²
To find-:
The length and breadth of the Rectangle
Solution -:
Let's the sides be x
Then, Ratio will be ; 3x and 2x
As we know that the area of Rectangle formula is :-
Length × Breadth
- Area of rectangle given 1536m²
Area of Rectangle = L × B
⇒1,536 = 3x × 2x
⇒1,536 = 6x²
⇒6x² = 1,536
⇒x² = 1536/6
⇒x² = 256
⇒x = √256
⇒x = 16
We got the value of x as 16
Finding Sides:-
➵ 3x ⇒ (3)(16) = 48 m
And
➵ 2x ⇒ (2)(16) = 32 m
Hence , the length is 48 m and Breadth is 32 m.
More Information:-
Area of Square = (side)²
Area of Circle = π r²
Area of Rectangle = l×b
Area of Triangle = 1/2×base×height