A 60 m long pipe of metal is cut into two pieces. One piece is used to form a square and the other an equilateral triangle. Show that whether the total area covered by pipe is maximum or minimum. Also calculate the total area.

Q: 1. Show solution and illustration. A man wants to fence a rectangular area as inexpensively as…

A:

Q: An agriculture field is in the form of a rectangle of length 20 m width 10 m. A 10 mdeep well of…

A: Given agriculture field in the form of rectangle as shown in figure A 10m deep well of  diameter 7m…

Q: You have 268 feet of fencing to enclose a rectangular region. What is the maximum area of the…

A: maximum area of the rectangle

Q: Two pieces of tubing 3 3/8 inch and 4 1/16 inch respectively are to be cut from a 10 inch length.…

A: We need to find the length of remaining tubing piece.The lengths of cut pieces are,

Q: Find the breadth of the rectangular plot of land whose area is 660 m and whose length is 33 m find…

A: Given that the area of rectangular plot of land is 660 m and length of rectangular plot of land is…

Q: A square with a side length of 5 inches, out of each corner, squares of side length 1 inch are cut…

A: Given that, A square whose side length is 5 in.Cut out a square from each corner whose side is 1…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A: Given:         Let x be the length ( in cm ) of the printed material and y be the width ( in cm ) of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.