Help if possible.
A box is to be formed by cutting square pieces out of the corner of a rectangular piece of a 3" x 5" notecard as shown below. The sides are then folded up to form a box ( see attachment).
a) Write the function that expresses the area of the bottom of the box as a function of the length of the side of one of the square pieces.
b) How large should x be in order for the area of the bottom of the box to equal 10 in^2? Round your answer to the nearest hundredth.

Question

Help if possible.
A box is to be formed by cutting square pieces out of the corner of a rectangular 	piece of a 3" x 5" notecard as shown below. The sides are then folded up to form a box ( see attachment).
a)	Write the function that expresses the area of the bottom of the box as a function of the length of the side of one of the square pieces. 
b)	How large should x be in order for the area of the bottom of the box to equal 10 in^2? Round your answer to the nearest hundredth.

shamil98 · Answer

attachment

wolfe8 · Answer

Here are some points: the length would be 5-2x, correct? And width 3-2x? Construct the area formula using length and width as usual using those for a.

wolfe8 · Answer

As for b, after you have the area equation, equate it with the required area and solve for x.

shamil98 · Answer

So, it would be (-2x + 5)(-2x +3)? for A

wolfe8 · Answer

Yes

wolfe8 · Answer

What is the simplified equation of that? For b you are given the area. So write that value on one side of the area equation you obtained in a.

shamil98 · Answer

4x^2 - 16x + 15 = 10 (the area).
is that correct?

wolfe8 · Answer

Yes. Now you solve for x. Do you know how to solve quadratic equation?

shamil98 · Answer

Yeah.

wolfe8 · Answer

Alright then. Let me know if you need more help.