The length and width of a rectangular patio are, (x + 8) feet and (x + 6) feet, respectively. if the area of the patio is 160 square feet, what are the dimensions of the patio?

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Area of the rectangle(A) is given by:

where,

l is the length and w is the width of the rectangle.

As per the statement:

The length and width of a rectangular patio are, (x + 8) feet and (x + 6) feet, respectively. If the area of the patio is 160 square feet

⇒A = 160 square feet, l= x+8 feet and w = x+6 feet

then;

⇒

⇒

Subtract 48 from both sides we have;

Using completing square method:

⇒

⇒

Simplify:

Subtract 7 from both sides we have;

Since, the sides cannot be in negative;

⇒

Length of patio = feet

Width of patio = feet

Therefore, the dimensions of the patio are:

feet and feet

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

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step-by-step explanation: