Question

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build?

Answer 1

@sourwing

Answer 2

@nirmalnema @ninjawolfjj @ranga @esamalaa

Answer 3

@Owlcoffee

Answer 4

@nirmalnema
the area of the rectangle should be 6x not 4x

Answer 5

ohh sorry

Answer 6

area of triangle+area of rectangle=150
(1/2*4*6)+(6*x)=150
12+6x=150
6x=138
x=138/6
x=23