StartLayout Enlarged Left-Brace 1st Row 2 l + 2 w = 96 2ndRow together w = 504 EndLayout

Step-by-step explanation:

The equation because that the perimeter is ...

You are watching: A rectangular swimming pool has a perimeter of 96 ft

ns = 2l +2w

The equation because that the area is ...

A = lw

Using this equations through the offered perimeter and area, we have the right to write the device of equations ...

2l + 2w = 96 eqn1

lw = 504 eqn2

Step-by-step explanation:

To version this case where we have two unknowns l and w, we require two equations.

Firstly, the perimeter of a rectangle is provided by

2l + 2w = p

Where l,w and also p space length, width and perimeter that the rectangle respectively.

Hence,

2l + 2w = 96 ... Eqn1

Secondly, the area that a rectangle is given by

Length × broad = Area

Hence,

l × w = 504

lw = 504 ... Eqn2

With these two equations the solutions to the length and width that the rectangle-shaped pool can be derived.

The answer is48 = l + w504 = together * wl - the length of the poolw - the broad of the poolThe perimeter p of the pool is:P = 2(l + w)P = 96 ft96 = 2(l + w)96/2 = l + w48 = together + wThe area A of the swimming pool isA = l * w504 ft² = together * w

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