A supermarket is designed to have a rectangular floor area of 3750 m² with 3 walls made of cement blocks and one wall made of glass. In order to conform to the building code, the length of the glass wall must not exceed 60 m, but must not be less than 30 m. The cost of a glass wall per metre is twice the cost of a cement wall per metre. Determine the dimensions of the floor that will minimize the cost of building the walls.

A supermarket is designed to have a rectangular floor area of 3750 m² with 3 walls made of cement blocks and one wall made of glass. In order to conform to the building code, the length of the glass wall must not exceed 60 m, but must not be less than 30 m. The cost of a glass wall per metre is twice the cost of a cement wall per metre. Determine the dimensions of the floor that will minimize the cost of building the walls.

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

Section8.2: Perimeter And Area Of Polygons

Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...

See similar textbooks

Similar questions

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?
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq metres in area. 1. How wide should the border be? Round to the nearest tenth of a metre. 2. If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satisfy both the client and the planning regulators?
A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area. How wide should the border be? Round to the nearest tenth of a metre. If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satisfy both the client and the planning regulators?
A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 129sq meters in area. 1. How wide should the border be? Round to the nearest tenth of a meter. 2. If physical planning laws. Require at least a 2 meter wide border around a pool, would the contractor be able to satisfy both the client and the planning regulators?
(c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The poolmust, by agreement, contain a rectangular border of uniform width and must be exactly120 sq meters in area.(i) How wide should the border be? Round to the nearest tenth of a metre.(ii) If physical planning laws require at least a 2-metre-wide border around a pool,would the contractor be able to satify both the client and the planning regulators?
(c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area. (i) How wide should the border be? Round to the nearest tenth of a metre. (ii) If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satisfy both the client and the planning regulators?
The City Council proposed to utilize a government-owned land with an area of 21,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following:1. the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway.2. the number of mango trees that leads to a maximum yield given that if 60 trees are planted, the average yield per tree will be 400 kilos while the average yield will decrease by 4 kilos per tree for each additional tree on the same area due to overcrowding. what is the illustration of variables, solution and conclusion?