The area of the patio is 216 square feet. a. Write and equation that represe

illusiia

illusiia

Answered question

2021-09-16

The area of the patio is 216 square feet.
a. Write and equation that represents the area of the patio.
b. Find the dimensions of the patio by completing the square.

Answer & Explanation

Derrick

Derrick

Skilled2021-09-17Added 94 answers

a) Area of patio is 216ft2 
Length (1) of patio is (x+6)ft 
Width (b) of patio is x ft 

We use area of rectangle =lb 

Area of patio =216 
Length (1) of patio =(x+6) 
Width (b) of patio =x 
216=(x+6)(x) 
x2+6x216=0 


b) Area of rectangle =lb 
Area of patio =216 
Length (1) of patio =(x+6) 
Width (b) of patio =x  
216=(x+6)(x)  
x2+6x216=0 
x2+18x12x216=0 
x(x+18)12(x+18)=0 
(x+18)(x12)=0 
(x+18)=0 
(x12)=0 
x=18 
x=12 
width cannot be negative 
So
Width (b) of patio =12ft 
Length (1) of patio =18ft

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