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?

Question

anonymous · Answer

@jackgrove

anonymous · Answer

area of the table top = area of rectangle + area of equilateral triangle = l*b +(b^2 * 1.73)/4

anonymous · Answer

can you give one dimension of the rectangle

anonymous · Answer

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 = __________________

Numerical Answers Expected!

anonymous · Answer

@jackgrove

anonymous · Answer

you should have specified this earlier!
x*6 + 1/2*4*6 = 150
6x +12 = 150
x = 23

anonymous · Answer

thx