Question

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

Answer 1

`18r+(1)/(2)(14)(r)=182`

Explanation:

Area of the composite figure ABCDE = Area of triangle ABE + Area of the rectangle BCDE

Area of triangle ABE =
`(1)/(2)(32-18)(r)`

=
`(1)/(2)(14)(r)`

Area of rectangle BCDE = 18 × r

= 18r

Total Area =
`(1)/(2)(14)r+18r`

Therefore, equation to get the value of 'r' will be,

`18r+(1)/(2)(14)(r)=182`