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Area of a patio If each side of a square patio is increased by 4feet, the area of the patio would be 196square feet. Solve the equation (s+4)2=196 fors to find the length of a side of the patio.

Short Answer

Expert verified

The length of a side of the patio is10 feet.

Step by step solution

01

Step 1. Given information

Equation(s+4)2=196

02

Step 2. Solving equation

(s+4)2=196s2+16+8s=196s2+8s+16-196=0s2+8s-180=0s2+18s-10s-180=0s(s+18)-10(s+18)=0(s+18)(s-10)=0

03

Step 3. Finding solution

As, (s+18)(s-10)=0

So, s+18=0s=-18 and s-10=0s=10

As, length cannot be negative. So, the length of a side of the patio is 10feet.

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