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?
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area of the table top = area of rectangle + area of equilateral triangle = l*b +(b^2 * 1.73)/4
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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!
you should have specified this earlier!
x*6 + 1/2*4*6 = 150
6x +12 = 150
x = 23