Question

14. Length of a rectangle is three times its breadth. Perimeter of the rectangle is 40cm.Its area will be what? Explain.

Answer 1

Answer:

Step-by-step explanation:

Let its breadth be X

then, length=3X

perimeter =2(l+b)

          40 =2(3x+x)  

          40 =8x

             x=5

ie, length is 15 and breadth is 5.

therefore area of rectangle =l×b

                                             =15×5

                                             =75 sq. units.

Answer 2

AnswEr :

• Let the Breadth of the Rectangle be x, then Length will be 3x i.e.(three times of Breadth)
• Perimeter of Rectangle = 40 cm
• Area of Rectangle = ?

• Let's Head to the Question Now :

⇒ Perimeter = 2 × (Length + Breadth)

⇒ 40 cm = 2 × (3x + x)

⇒ 40 cm = 2 × 4x

⇒ 40 cm = 8x

• Dividing Both term by 8

⇒ x = 5 cm

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• D I M E N S I O N S :

◗ Length = 3x = 3(5 cm) = 15 cm

◗ Breadth = x = 5 cm

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• A R E A ⠀O F ⠀R E C T A N G L E :

↠ Area = Length × Breadth

↠ Area = 15 cm × 5 cm

↠ Area = 75 cm²

∴ Area of Rectangle will be 75 cm².