Question

can someone plzz help me i tried this equation and i got it wrong i want to figure out how to do it
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? An image of a compound shape made up of a rectangle and a triangle is shown. W=6 B=4 H=6 L=x=?

Answer 1

can you show the image?

Answer 2

area of table top = area of triangle = 1/2*b* h

Answer 3

area of rectangle = l* b

Answer 4

correction to my post the area of the table top is not just the area of the triangle

Answer 5

so its the area of the rectangle too

Answer 6

im still confused

Answer 7

maximum area = 150 ft^2

Answer 8

The table top is a triangle attached to a rectangle
yes. area of triangle + area of rectangle = area of the table top

Answer 9

shape is a trapezoid. area = sum of lengths * perpendicular
this will be the same as the triangle + rectangle

Answer 10

so 6x4/2 + 6x ?

Answer 11

i dont know what the length is so i dont know the area of the rectangle

Answer 12

(4 + x) + x multiplied by 6 = 150
4 + 2 x = 150/6 =
let me double check the formula of trapezoid's area

Answer 13

A = 1/2 h(b1 + b2) b = base, h = height

Answer 14

i got 12

Answer 15

with the correction
A = 1/2*6*(4 + 2x) = 150
x = 23

Answer 16

thats what i did last time and it was wrong

Answer 17

thanks anyway for trying

Answer 18

can someone help me with this

Answer 19

is that about right?

Answer 20

yes

Answer 21

I'm trying to see what does the

"What is the maximum length of the base of the rectangle he can build? "

has to do with the amount of paint he can afford to cover