Answer:
[tex]18r+\frac{1}{2}(14)(r)=182[/tex]
Step-by-step explanation:
Area of the composite figure ABCDE = Area of triangle ABE + Area of the rectangle BCDE
Area of triangle ABE = [tex]\frac{1}{2}(32-18)(r)[/tex]
= [tex]\frac{1}{2}(14)(r)[/tex]
Area of rectangle BCDE = 18 × r
= 18r
Total Area = [tex]\frac{1}{2}(14)r+18r[/tex]
Therefore, equation to get the value of 'r' will be,
[tex]18r+\frac{1}{2}(14)(r)=182[/tex]
