1. A landowner wants to build a fence to enclose a rectangular lot. There will also be two other segments of fencing through the middle to divide the lot into 3 regions, as shown. The outside fencing costs $4.00 per foot and the fencing for segments through the middle costs $3.50 per foot. What is the largest rectangle, by total area, that can be built where the total cost is $2000?

1. A landowner wants to build a fence to enclose a rectangular lot. There will also be two other segments of fencing through the middle to divide the lot into 3 regions, as shown. The outside fencing costs $4.00 per foot and the fencing for segments through the middle costs $3.50 per foot. What is the largest rectangle, by total area, that can be built where the total cost is $2000?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.1: Area And Initial Postulates

Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...

See similar textbooks

Similar questions

Consider the information in Exercise 2, but suppose you know that the area of the region defined by the intersection of the square and the circle measures 5. What is the area of the entire colored region? 2. The area of the square is 12, and the area of the circle is 30. Does the area of the entire shaded region equal 42? Why or why not?
When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square?
A welded support base is cut into four pieces as shown in Figure 14. What fractional part of the total length does each of the four pieces represent? All dimensions are in inches. Piece 1: . Piece 2: . Piece 3: . Piece 4: . The circle in Figure I -S is divided into equal parts. Write the fractional part represented by each of the following in Exercises 3 and 4:
After the five pieces have been cut from the round stock in Figure 113, what is the length that is thrown away?
A carpenter lays out boards of lengths 8 ft, 8 ft, 4 ft, and 4 ft by placing them end to end. a If these are joined at the ends to form a quadrilateral that has the 8-ft pieces connected in over, what type of quadrilateral is formed? b If these are joined at the ends to form a quadrilateral that has the 4-ft and 8-ft pieces alternating, what type of quadrilateral is formed?
Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle that has the smallest perimeter. What type of figure has the smallest perimeter?
If the area of the 1200 sector is 40 cm2 and the area of MON is 16 cm2, what is the area of the segment bounded by MN- and MN?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
In the part shown in Figure 39-9, all dimensions are in inches. a. What is the total length of this part? b. What is the length from point A to point B?