The sides of a rectangle are in the ratio of 4:3 and its area is 108 cm sq. The perimeter of the rectangle in cm is
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Answered by
48
Hello Friend !
The answer is given below :
Let the sides of the rectangle be :
Length, l = 4x cm
Breadth, b = 3x cm
Then, we know that the area of the rectangle is given by :
⇒ A = l × b
⇒ 108 cm² = 4x cm × 3x cm
⇒ 108 = 12x²
⇒ 9 = x²
⇒ x = 3 (Taking square root on both the sides)
Therefore, the sides of the rectangle becomes :
Length, l = 4x = 4 × 3 = 12 cm
Breadth, b = 3x = 3 × 3 = 9 cm
Now, we know that the perimeter of the rectangle is given by :
⇒ P = 2(l + b)
⇒ P = 2(12+9)
⇒ P = 2 × 21
⇒ P = 42 cm
Therefore the perimeter of the rectangle is 42 cm.
Hope this helps !!!
The answer is given below :
Let the sides of the rectangle be :
Length, l = 4x cm
Breadth, b = 3x cm
Then, we know that the area of the rectangle is given by :
⇒ A = l × b
⇒ 108 cm² = 4x cm × 3x cm
⇒ 108 = 12x²
⇒ 9 = x²
⇒ x = 3 (Taking square root on both the sides)
Therefore, the sides of the rectangle becomes :
Length, l = 4x = 4 × 3 = 12 cm
Breadth, b = 3x = 3 × 3 = 9 cm
Now, we know that the perimeter of the rectangle is given by :
⇒ P = 2(l + b)
⇒ P = 2(12+9)
⇒ P = 2 × 21
⇒ P = 42 cm
Therefore the perimeter of the rectangle is 42 cm.
Hope this helps !!!
harishvermabaq:
Please mark BRAINLIEST if it HELPED !!!
Answered by
2
Hello friend !
Answer is given below :
Let the sides of the rectangle be :
length,l = 4x cm
Breadth,b = 3x cm
= A=l×b
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