The length of a rectangular pool is 6 m less than twice the width.If the pool has a perimeter of 126 m,find the area

A: 920

B: 391

C: 900

D: 414

Correct Answer : A

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

P = 2( l + w )

In this case, the perimeter is given as 126 m. Therefore:

126 = 2( ( 2w – 6 ) + w )

Now, simplify and solve for w:

126 = 2( 3w – 6 )

Divide both sides by 2:

63 = 3w − 6

Add 6 to both sides:

69 = 3w

Divide by 3:

W = 23

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

L = 2w – 6 = 2(23) – 6 = 40

The width is 23 m, and the length is 40 m. To find the area (A) of the rectangle, use the formula:

A = l × w

Substitute the values:

A = 40 × 23 = 920

Therefore, the area of the rectangular pool is 920m2.

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