Question

Cuboid has total surface area of 149 m square and its lateral surface area is 135m square find its area of base

Answer 1

so the area of the base of cuboid =7 m2

Answer 2

Let base length be a and length be h.
$total \: area \\ 2 {a}^{2} + 4ah = 149 - - (1) \\ lateral \: surface \: area \\ 4ah = 135 - - -(2)$
Substituting (2) in (1),
$2 {a}^{2} = 149 - 135 = 14 \\ thus \: base \: area \: {a}^{2} \: = \frac{14}{2} = 7 \: {m}^{2}$