Question

The length of a rectangle is three times its breadth. Perimeter of the rectangle is 48 cm. what is the area of the rectangle?​

Answer 1

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$\boxed{\boxed{\underline{\underline{\sf Area = 108 cm^2}}}}$

Step-by-step explanation:

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• Length of Rectangle = 3 times Breadth.

• Perimeter of Rectangle = 48 cm

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• Area of Rectangle

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• Let is assume the Breadth as x

• So, Length = 3 × x [Which is given In The Question]

• Length = 3x

• Given That Perimeter of The Rectangle =48 cm.

• We know that To Find Perimeter of the Rectangle we use the formula:-

• $\boxed{\sf{ \rm{\blue{Perimeter = 2 \times (Length + Breadth)}}}}$

• So, now substitute the value of Perimeter, Length,Breadth.

• 48 = 2( 3x + x)

• 48 = 6x + 2x

• 48 = 8x

• x = $\frac{48}{8}$

• x = 6

Now,

• Breath = x = 6cm

• Length = 3x = 3 × 6 = 18 cm.

• Now we have to find the Area

To Find The Area of Rectangle we use the Formula :-

• $\boxed{\sf Area = Length \times Breadth}$

• Now, substitute the value of Length and Breadth in the Equation.

• Area = 18 × 6

• $\boxed{\boxed{\underline{\underline{\sf Area = 108 cm^2}}}}$

Answer 2

Area= length x breadth

so area= l x b