Question

You are writing up plans for building a table from a 4-foot-by-8-foot rectangular sheet of plywood. The table top will be a square, and the top face must be sanded. Which of the following is closest to the side length, in feet, of the largest square you can cut from the sheet of plywood?

Answer 1

Answer: 4 foot.

Explanation:

Here, we have a rectangular sheet of plywood with dimension 4 foot × 8 foot

That is, length of the rectangle = 4 foot and breadth = 8 foot.

Since we have to cute the plywood.

And, form a square from it.

Since, we know that all sides of square are same.

Therefore we have to cut a figure which has the same side.

When we cut the rectangle from the middle we found two sheet of 4 foot side length.

Since, both figures have the same side length of each edges.

Therefore both are squares of sides 4 foot.

Answer 2

The largest square you can cut from a rectangle will have a side length equal to the smallest dimension of the rectangle. Here, that is 4 feet.