The length of a rectangle is 4 cm longer than its width.If the perimeter of the rectangle is 48 cm,find its area

A: 96

B: 120

C: 100

D: 140

Correct Answer : D

The formula for the perimeter (P) of a rectangle is given by:

P=2( l + w )

Substitute the expressions:

 48=2( (w+4)+w )

Now, simplify and solve for w:

 48=2(2w + 4)

Divide both sides by 2:

24=2w+4

Subtract 4 from both sides:

20=2w

Divide by 2:

w=10

Now that we know the width (w), we can find the length (l):

l=w+4=10+4=14

The width is 10 cm, and the length is 14 cm. To find the area (A) of the rectangle, use the formula: A=l × w

Substitute the values:

A = 14 × 10 = 140

Therefore, the area of the rectangle is 140 cm2.

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