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Licemer1 [7]
2 years ago
10

Jack plants a vegetable garden. The garden is the shape of a rectangle. He wants to put a fencing around the entire garden

Mathematics
1 answer:
Sati [7]2 years ago
4 0

Step-by-step explanation:

you need to find the lenght and breadth of the rectangle

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Please find the attachment.

Let x represent the side length of the squares.

We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.

The side of box will be 8-x-x=8-2x and 10-x-x=10-2x.

The height of the box will be x.

The volume of box will be area of base times height.

\text{Volume of box}=(8-2x)(10-2x)\cdot x

Now we will use FOIL to simplify our expression.

\text{Volume of box}=(80-16x-20x+4x^2)\cdot x

\text{Volume of box}=(80-36x+4x^2)\cdot x

Now we will distribute x.

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Therefore, the volume of the box would be V(x)=80x-36x^2+4x^3.

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