Question

The length of a rectangle is 15 cm more than its width. The perimeter is 150 cm. Find

the dimensions of the rectangle.​

Answer 1

Answer :-

• Dimensions of the rectangle are 45cm and 30cm.

Given :-

• The length of a rectangle is 15 cm more than its width and it's perimeter is 150 cm.

To Find :-

• Dimensions of the rectangle.

Solution :-

Let

• Width of the rectangle be x
• Length of the rectangle = x + 15

Here

• Perimeter of the rectangle = 150cm

As we know that

Perimeter of a rectangle is

2 (l + b)

Where

• l = length
• b = breadth

According to question :-

⇒ 2 (x + x + 15) = 150

⇒ 2 (2x + 15) = 150

⇒ 2x + 15 = 150/2

⇒ 2x + 15 = 75

⇒ 2x = 75 - 15

⇒ 2x = 60

⇒ x = 60/2

⇒ x = 30

Now

• Breadth of the rectangle = x = 30cm
• Length of the rectangle = x + 15 = 30 + 15 = 45cm

Hence, the dimensions of the rectangle are 45cm and 30cm.

Answer 2

Answer:

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Step-by-step explanation:

p=150 cm

b=x

l=x+15

perimeter of a rect= 2(l+b)

=2(x+x+15)

=2(2x+15)

150=4x+30

150-30=4x

120=4x

120/4=x

x=30 cm

breadth of the rect= 30cm

l=30+15=45 cm

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