We know that
step 1
the area to install tiles is equal to A
A=area rectangle-area of a circle
area of a rectangle=(13+x)*x-----> (13x+x²) ft²
area of a circle=pi*r²-----> pi*6²------> 36*pi ft²
A=(x²+13x)-36*pi ft²
step 2
find the cost of installing tiles CT
CT=$1*[(x²+13x)-36*pi]-----> CT=$x²+$13x-$36*pi
step 3
find the cost <span>the of installing the pond CP
CP=$0.62*36*pi------> CP$22.32*pi
step 4
find the inequality
we know that
CT+CP </span>
<span> $536
[</span>$x²+$13x-$36*pi]+[$22.32*pi] $536
[$x²+$13x-$13.68*pi] $536
the answer is the option D
step 1
the area to install tiles is equal to A
A=area rectangle-area of a circle
area of a rectangle=(13+x)*x-----> (13x+x²) ft²
area of a circle=pi*r²-----> pi*6²------> 36*pi ft²
A=(x²+13x)-36*pi ft²
step 2
find the cost of installing tiles CT
CT=$1*[(x²+13x)-36*pi]-----> CT=$x²+$13x-$36*pi
step 3
find the cost <span>the of installing the pond CP
CP=$0.62*36*pi------> CP$22.32*pi
step 4
find the inequality
we know that
CT+CP </span>
[</span>$x²+$13x-$36*pi]+[$22.32*pi]
[$x²+$13x-$13.68*pi]
the answer is the option D