R is the first quadrant region enclosed by the x-axis, the curve y = 2x + b, and the line x = b, where b 0. Find the value of b so that the area of the region R is 288 square units.

Question

R is the first quadrant region enclosed by the x-axis, the curve y = 2x + b, and the line x = b, where b > 0. Find the value of b so that the area of the region R is 288 square units.

erinkb99 · Answer

Possible answers
 16.971
 16.478
 12
 6

erinkb99 · Answer

I found the x intercept and then tried to find the area with a triangle and I got 11.3?

erinkb99 · Answer

@jim_thompson5910

jim_thompson5910 · Answer

The first thing to do here is to graph this. I would use desmos or geogebra If we used desmos, we'd have this https://www.desmos.com/calculator/zy7xju2yrq if b > 0, then the region R is a trapezoid. Are you able to determine the dimensions of this figure?

jim_thompson5910 · Answer

blank xy axis
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jim_thompson5910 · Answer

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