Question

5. A foundry manufactures aluminum trays from pieces of sheet metal as shown. a. Write an expression for the length of the metal tray. 20 in. 14 in. X Х Х

Answer 1

a)

The length of the metal sheet, l=20 in.

From the corners of the sheet, squares of side length x is cut out. So, the length reduces by 2x.

Hence, the expression for the length of the metal tray is,

20-2x.

b)

The original width of the sheet, w=14 in.

A square piece of length x is cut from corners. So, the width reduces by 2x.

So, the expression for the width of the tray is,

14-2x.