Question

Lorena's garden is surrounded by a corridor of uniform width. The garden and the hallway together cover an area of 320 square meters. If the garden measures 12 meters by 16 meters. determines the width of the hallway

215

likes
1074 views

Answer to a math question Lorena's garden is surrounded by a corridor of uniform width. The garden and the hallway together cover an area of 320 square meters. If the garden measures 12 meters by 16 meters. determines the width of the hallway

Expert avatar
Eliseo
4.6
110 Answers
A continuación se explica cómo resolver el problema: **1. Encuentra el área del jardín:** * Área del jardín = largo * ancho * Área de jardín = 12 metros * 16 metros = 192 metros cuadrados **2. Encuentra el área total del jardín y el pasillo:** * El jardín y el pasillo combinados tienen una superficie de 320 metros cuadrados. **3. Encuentra el área del pasillo:** * Área del pasillo = Área total - Área del jardín * Área del pasillo = 320 metros cuadrados - 192 metros cuadrados = 128 metros cuadrados **4. Modela el pasillo:** * Imagine el pasillo como un marco alrededor del jardín. Llamemos al ancho del pasillo "x". * El largo del jardín más el doble del ancho del pasillo sería 12 + 2x. * El ancho del jardín más el doble del ancho del pasillo sería 16 + 2x. **5. Establecer una ecuación** * El área del pasillo es igual al área total menos el área del jardín: (12 + 2x)(16 + 2x) - 192 = 128 **6. Resuelve la ecuación:** * Ampliar la ecuación: 192 + 56x + 4x^2 - 192 = 128 * Simplificar: 4x^2 + 56x - 128 = 0 *Dividir ambos lados entre 4: x^2 + 14x - 32 = 0 * Factorizar: (x + 16)(x - 2) = 0 *Resolver para x: x = -16 o x = 2 **7. Elija la solución positiva:** *El ancho del pasillo no puede ser negativo, por lo que el ancho del pasillo es de 2 metros. **Respuesta:** El pasillo tiene un ancho de 2 metros.

Frequently asked questions (FAQs)
Question: Graph the two-variable inequality y < 2x + 5. (
+
What is the rule for congruence of triangles relating to SAS criterion?
+
What is the value of 'a' in the equation of a parabola, y = ax^2, if the vertex is (2, 5) and it passes through the point (4, 9)?
+
New questions in Mathematics
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
10! - 8! =
8x-(5-x)
7273736363-8
1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method
An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?
-0.15/32.6
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
4x + 8y = 5 2x + 4y = 10
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
P(Z<z)=0.1003
A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of
9 x² + 2x + 1 = 0
Show work on 4108 divided by 4
For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?
How many cards do you expect to pull from a poker deck until you get an ACE?
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.