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?

An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.x=?

Answer 1

someone please help me?

Answer 2

Could you post a graphic of "the figure below" - as it says in your question?

Answer 3

@wolf1728 drew it ^

Answer 4

can you seee it? @wolf1728

Answer 5

Triangle Area = 4 * 6 /2 = 12
That leaves (150 -12) = 138 sq feet left to paint
6 * x = 138
x = 138/6
There's enough paint to cover
a rectangle of 6 by 23 feet and a triangle of 12 square feet

Answer 6

oh thank you ! @wolf1728