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The figure has an area of 182 cm
Which equation can be used to find the
value of r?
A 18r + (14)(r) = 182
B 18r + -(14)(r) = 182
C 18r - -(14)(r) = 182
D 18r - (32)(r) = 182

The figure has an area of 182 cm Which equation can be used to find the value of r A 18r 14r 182 B 18r 14r 182 C 18r 14r 182 D 18r 32r 182 class=

Respuesta :

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]

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